Question

find dy/dx if y=tan(e^x)​

Answer 1

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Answer 2

Answer:

dy/dx = [e^x][sec^2(e^x)]

Step-by-step explanation:

ATQ,

$y = \tan( {e}^{x} )$

Differentiate both sides w.r.t. x

$\frac{dy}{dx} = \frac{d( \tan( {e}^{x} ) )}{dx}$

$\frac{dy}{dx} = \: { \sec}^{2} ( {e}^{x} ). {e}^{x}$

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