Solusi - Derivatif

\cos (x + 2 y) \times (1 + 2 \times \frac{d}{d x} [y])

\cos(x + 2 y)\times (1+2\times \frac{d}{dx}[y])

Lihat langkah

Penjelasan langkah demi langkah

1. Selesaikan turunan

2 tambahan langkah

Menghitung turunan dari fungsi sinus menggunakan aturan rantai.

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

Mendekomposisi fungsi untuk aturan rantai.

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

Menghitung turunan dari fungsi sinus.

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

Menggantikan variabel kembali ke dalam fungsi.

$\cos (x) \times \frac{d}{d x} [x + 2 y] = \cos (x + 2 y) \times \frac{d}{d x} [x + 2 y]$

Menerapkan aturan penjumlahan turunan.

$\cos (x + 2 y) \times \frac{d}{d x} [x + 2 y] = \cos (x + 2 y) \times (\frac{d}{d x} [x] + \frac{d}{d x} [2 y])$

Turunan dari suatu variabel terhadap dirinya sendiri selalu sama dengan satu.

$\cos (x + 2 y) \times (\frac{d}{d x} [x] + \frac{d}{d x} [2 y]) = \cos (x + 2 y) \times (1 + \frac{d}{d x} [2 y])$

Menerapkan aturan perkalian turunan.

$\cos (x + 2 y) \times (1 + \frac{d}{d x} [2 y]) = \cos (x + 2 y) \times (1 + (\frac{d}{d x} [2] \times y + 2 \times \frac{d}{d x} [y]))$

Turunan dari sebuah nilai konstan selalu nol.

$\cos (x + 2 y) \times (1 + (\frac{d}{d x} [2] \times y + 2 \times \frac{d}{d x} [y])) = \cos (x + 2 y) \times (1 + (0 y + 2 \times \frac{d}{d x} [y]))$

Mengalikan sebuah angka dengan nol selalu menghasilkan nol.

$\cos (x + 2 y) \times (1 + (0 y + 2 \times \frac{d}{d x} [y])) = \cos (x + 2 y) \times (1 + (0 + 2 \times \frac{d}{d x} [y]))$

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

$\cos (x + 2 y) \times (1 + (0 + 2 \times \frac{d}{d x} [y])) = \cos (x + 2 y) \times (1 + 2 \times \frac{d}{d x} [y])$

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

Picture this: You're a surfer trying to catch the biggest wave. How do you know when it's coming? Derivatives can tell you when it's at its highest point!

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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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