Solusi - Derivatif

- e^{x} \sin (e^{x})

- e^{x} \sin{\left(e^{x} \right)}

Lihat langkah

Penjelasan langkah demi langkah

1. Selesaikan turunan

2 tambahan langkah

Menghitung turunan dari fungsi kosinus menggunakan aturan rantai.

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

Mendekomposisi fungsi untuk aturan rantai.

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

Menghitung turunan dari fungsi kosinus.

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

Menggantikan variabel kembali ke dalam fungsi.

$- \sin (x) \times \frac{d}{d x} [e^{x}] = - \sin (e^{x}) \times \frac{d}{d x} [e^{x}]$

Menghitung turunan dari fungsi eksponensial.

$- \sin (e^{x}) \times \frac{d}{d x} [e^{x}] = - \sin (e^{x}) \times e^{x}$

Menyederhanakan ekspresi aritmatika.

$- \sin (e^{x}) \times e^{x} = - e^{x} \sin (e^{x})$

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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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Stock Market: Trading in the stock market? Derivatives can indicate the rate at which stock prices are changing, helping predict the best time to buy or sell.

Animation: Love animated movies? Artists use derivatives to smoothly change the motion and expressions of characters, making them feel more lifelike.

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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

Alasan mempelajari materi ini

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