Calculating derivatives Find the derivative of the following functions.

$y={e}^{-x}\mathrm{sin}x$

sibuzwaW
2021-05-13
Answered

Calculating derivatives Find the derivative of the following functions.

$y={e}^{-x}\mathrm{sin}x$

You can still ask an expert for help

Obiajulu

Answered 2021-05-14
Author has **98** answers

Step 1

we have to find the derivatives of the following function

$y={e}^{-x}\mathrm{sin}x$

Step 2

$y={e}^{-x}\mathrm{sin}x$

$\frac{dy}{dx}=\frac{d}{dx}\left({e}^{-x}\mathrm{sin}x\right)$

$\frac{dy}{dx}={e}^{-x}\frac{d}{dx}\left(\mathrm{sin}x\right)+\left(\mathrm{sin}x\right)\frac{d}{dx}\left({e}^{-x}\right)$

$\frac{dy}{dx}={e}^{-x}\left(\mathrm{cos}x\right)+\left(\mathrm{sin}x\right)(-{e}^{-x})$

$\frac{dy}{dx}={e}^{-x}(\mathrm{cos}x-\mathrm{sin}x)$

we have to find the derivatives of the following function

Step 2

Jeffrey Jordon

Answered 2021-11-24
Author has **2027** answers

Answer is given below (on video)

Jeffrey Jordon

Answered 2022-03-24
Author has **2027** answers

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