Question

solve it
$y = {e}^{ \tan \: x }$
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Answer 1

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Differentiate w. r. t. x

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

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

Answer 2

Answer:

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