Solusi - Derivatif

- \frac{\cos (x)}{\sin (x)}

- \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}}

Lihat langkah

Penjelasan langkah demi langkah

1. Selesaikan turunan

Menerapkan aturan perkalian turunan.

$\frac{d}{d x} [- 1 \times \ln (\sin (x))] = \frac{d}{d x} [- 1] \times \ln (\sin (x)) - 1 \times \frac{d}{d x} [\ln (\sin (x))]$

Turunan dari sebuah nilai konstan selalu nol.

$\frac{d}{d x} [- 1] \times \ln (\sin (x)) - 1 \times \frac{d}{d x} [\ln (\sin (x))] = 0 \times \ln (\sin (x)) - 1 \times \frac{d}{d x} [\ln (\sin (x))]$

Mengalikan sebuah angka dengan nol selalu menghasilkan nol.

$0 \times \ln (\sin (x)) - 1 \times \frac{d}{d x} [\ln (\sin (x))] = 0 - 1 \times \frac{d}{d x} [\ln (\sin (x))]$

Menambahkan nol ke sebuah angka, yang tidak mengubah nilai angka tersebut.

$0 - 1 \times \frac{d}{d x} [\ln (\sin (x))] = - 1 \times \frac{d}{d x} [\ln (\sin (x))]$

2 tambahan langkah

Menghitung turunan dari fungsi logaritma menggunakan aturan rantai.

$- 1 \times \frac{d}{d x} [\ln (\sin (x))] = - 1 \times (\frac{1}{\sin (x)} \times \frac{d}{d x} [\sin (x)])$

Mendekomposisi fungsi untuk aturan rantai.

$\frac{d}{d x} [\ln (\sin (x))] = \frac{d}{d x} [\ln (x)] \times \frac{d}{d x} [\sin (x)]$

Menghitung turunan dari fungsi logaritma alami.

$\frac{d}{d x} [\ln (x)] \times \frac{d}{d x} [\sin (x)] = \frac{1}{x} \times \frac{d}{d x} [\sin (x)]$

Menggantikan variabel kembali ke dalam fungsi.

$\frac{1}{x} \times \frac{d}{d x} [\sin (x)] = \frac{1}{\sin (x)} \times \frac{d}{d x} [\sin (x)]$

Menghitung turunan dari fungsi sinus.

$- 1 \times (\frac{1}{\sin (x)} \times \frac{d}{d x} [\sin (x)]) = - 1 \times (\frac{1}{\sin (x)} \times \cos (x))$

Menyederhanakan ekspresi aritmatika.

$- 1 \times (\frac{1}{\sin (x)} \times \cos (x)) = - 1 \times (\frac{\cos (x)}{\sin (x)})$

Menyederhanakan ekspresi aritmatika.

$- 1 \times (\frac{\cos (x)}{\sin (x)}) = - \frac{\cos (x)}{\sin (x)}$

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Ever wondered how to predict the future? Derivatives are your crystal ball!

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In short, derivatives are like a secret code to understanding change and making predictions in real life. So let's crack this code together and become masters of our futures!

Istilah dan topik

Derivative

Solusi - Derivatif

Penjelasan langkah demi langkah

1. Selesaikan turunan

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