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Ufumbuzi - Tofauti

\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) - \frac{6 a c r \cos (\frac{3}{x^{2}})}{x^{3}}

\frac{d}{dx}[a]\times rc\times \sin{\left(\frac{3}{x^{2}} \right)}+a\times \frac{d}{dx}[r]\times c\times \sin{\left(\frac{3}{x^{2}} \right)}+ar\times \frac{d}{dx}[c]\times \sin{\left(\frac{3}{x^{2}} \right)}- \frac{6 a c r \cos{\left(\frac{3}{x^{2}} \right)}}{x^{3}}

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1. Suluhisha johofu

19 ziada steps

Kupanua kifungu kwa ajili ya bidhaa.

$\frac{d}{d x} [a r c \times \sin (\frac{3}{x^{2}})] = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]$

Kupanua kifungu kwa ajili ya bidhaa.

Uzidishaji unaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [a r c \times \sin (\frac{3}{x^{2}})] = \frac{d}{d x} [a \times (r c \times \sin (\frac{3}{x^{2}}))]$

Kutumia sheria ya bidhaa ya vifungu.

$\frac{d}{d x} [a \times (r c \times \sin (\frac{3}{x^{2}}))] = \frac{d}{d x} [a] \times (r c \times \sin (\frac{3}{x^{2}})) + a \times \frac{d}{d x} [r c \times \sin (\frac{3}{x^{2}})]$

Kupanua kifungu kwa ajili ya bidhaa.

$\frac{d}{d x} [a] \times (r c \times \sin (\frac{3}{x^{2}})) + a \times \frac{d}{d x} [r c \times \sin (\frac{3}{x^{2}})] = \frac{d}{d x} [a] \times (r c \times \sin (\frac{3}{x^{2}})) + a (\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])$

Uzidishaji unaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [r c \times \sin (\frac{3}{x^{2}})] = \frac{d}{d x} [r \times (c \times \sin (\frac{3}{x^{2}}))]$

Kutumia sheria ya bidhaa ya vifungu.

$\frac{d}{d x} [r \times (c \times \sin (\frac{3}{x^{2}}))] = \frac{d}{d x} [r] \times (c \times \sin (\frac{3}{x^{2}})) + r \times \frac{d}{d x} [c \times \sin (\frac{3}{x^{2}})]$

Kupanua kifungu kwa ajili ya bidhaa.

Kutumia sheria ya bidhaa ya vifungu.

$\frac{d}{d x} [c \times \sin (\frac{3}{x^{2}})] = \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]$

Uzidishaji unaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [r] \times (c \times \sin (\frac{3}{x^{2}})) + r (\frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]) = \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + r (\frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])$

Kuzidisha namba na jumla au tofauti ya namba mbili inaweza kufanyika kwa kuzidisha kila namba pekee na kisha kuongeza au kupunguza matokeo.

$\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + r (\frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]) = \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + (r \times (\frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}})) + r \times (c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]))$

Uzidishaji unaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + (r \times (\frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}})) + r \times (c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])) = \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + (r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + r \times (c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]))$

Uzidishaji unaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + (r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + r \times (c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])) = \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + (r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])$

Jumla zinaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + (r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]) = \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]$

Uzidishaji unaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [a] \times (r c \times \sin (\frac{3}{x^{2}})) + a (\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a (\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])$

Kuzidisha namba na jumla au tofauti ya namba mbili inaweza kufanyika kwa kuzidisha kila namba pekee na kisha kuongeza au kupunguza matokeo.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a (\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + (a \times (\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}})) + a \times (r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}})) + a \times (r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]))$

Uzidishaji unaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + (a \times (\frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}})) + a \times (r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}})) + a \times (r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + (a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a \times (r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}})) + a \times (r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]))$

Uzidishaji unaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + (a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a \times (r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}})) + a \times (r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + (a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a \times (r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]))$

Uzidishaji unaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + (a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a \times (r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + (a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})])$

Jumla zinaweza kikundi tofauti, lakini matokeo yanabaki yale yale.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + (a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})]$

2 ziada steps

Kuwa hesabu kifungu cha kazi ya sine kutumia sheria ya mfuatano.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times \frac{d}{d x} [\sin (\frac{3}{x^{2}})] = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{d}{d x} [\frac{3}{x^{2}}])$

Kufunua kazi kwa sheria ya mfuatano.

$\frac{d}{d x} [\sin (\frac{3}{x^{2}})] = \frac{d}{d x} [\sin (x)] \times \frac{d}{d x} [\frac{3}{x^{2}}]$

Kuipata mchanganyiko wa mabadiliko ya kazi ya saini.

$\frac{d}{d x} [\sin (x)] \times \frac{d}{d x} [\frac{3}{x^{2}}] = \cos (x) \times \frac{d}{d x} [\frac{3}{x^{2}}]$

Kurudisha kigezo katika kazi.

$\cos (x) \times \frac{d}{d x} [\frac{3}{x^{2}}] = \cos (\frac{3}{x^{2}}) \times \frac{d}{d x} [\frac{3}{x^{2}}]$

Kuhesabu kifungu cha kazi ya sehemu.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{d}{d x} [\frac{3}{x^{2}}]) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{\frac{d}{d x} [3] \times x^{2} - 3 \times \frac{d}{d x} [x^{2}]}{{(x^{2})}^{2}})$

Mchanganyiko wa mabadiliko ya thamani ya kudumu ni sawa na sifuri.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{\frac{d}{d x} [3] \times x^{2} - 3 \times \frac{d}{d x} [x^{2}]}{{(x^{2})}^{2}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 x^{2} - 3 \times \frac{d}{d x} [x^{2}]}{{(x^{2})}^{2}})$

Kuhesabu kifungu cha x iliyoinuka kwa nguvu ya n.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 x^{2} - 3 \times \frac{d}{d x} [x^{2}]}{{(x^{2})}^{2}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 x^{2} - 3 \times (2 x^{2 - 1})}{{(x^{2})}^{2}})$

Kupunguza moja kutoka kwenye namba.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 x^{2} - 3 \times (2 x^{2 - 1})}{{(x^{2})}^{2}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 x^{2} - 3 \times (2 x^{1})}{{(x^{2})}^{2}})$

Idadi yoyote inayoinuliwa kwa nguvu ya moja inakuwa idadi hiyo yenyewe.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 x^{2} - 3 \times (2 x^{1})}{{(x^{2})}^{2}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 x^{2} - 3 \times (2 x)}{{(x^{2})}^{2}})$

Kuzidisha idadi kwa sifuri daima hutoa sifuri.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 x^{2} - 3 \times (2 x)}{{(x^{2})}^{2}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 - 3 \times (2 x)}{{(x^{2})}^{2}})$

Kurahanisisha maneno ya hesabu.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 - 3 \times (2 x)}{{(x^{2})}^{2}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 - 3 \times (2 x)}{x^{4}})$

Kuongeza sifuri kwa idadi, ambayo haibadilishi thamani yake.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{0 - 3 \times (2 x)}{x^{4}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{- 3 \times (2 x)}{x^{4}})$

Kurahanisisha maneno ya hesabu.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{- 3 \times (2 x)}{x^{4}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{- 6 x}{x^{4}})$

Kurahanisisha maneno ya hesabu.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times \frac{- 6 x}{x^{4}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times (- \frac{6}{x^{3}}))$

Kurahanisisha maneno ya hesabu.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (\cos (\frac{3}{x^{2}}) \times (- \frac{6}{x^{3}})) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (- \frac{6 \cos (\frac{3}{x^{2}})}{x^{3}})$

Kurahanisisha maneno ya hesabu.

$\frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) + a r c \times (- \frac{6 \cos (\frac{3}{x^{2}})}{x^{3}}) = \frac{d}{d x} [a] \times r c \times \sin (\frac{3}{x^{2}}) + a \times \frac{d}{d x} [r] \times c \times \sin (\frac{3}{x^{2}}) + a r \times \frac{d}{d x} [c] \times \sin (\frac{3}{x^{2}}) - \frac{6 a c r \cos (\frac{3}{x^{2}})}{x^{3}}$

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Ufumbuzi - Tofauti

Maelezo kwa hatua

1. Suluhisha johofu

Kwa nini kujifunza hii

Vigezo na mada

Viungo vinavyohusiana

Maswali ya hivi karibuni yaliyohusiana yalisuluhishwa