Question

differenciate with respect to x,
y=a^sine^x​

Answer 1

differination

forumla used:

$\frac{d(a {}^{x} )}{dx} = a {}^{x} loga$

solution

$y = a {}^{sin e{}^{x} }$

differinate by chain rule

$\frac{dy}{dx} = a {}^{ \sin(e {}^{x} ) } \times log(a) \times \cos(e {}^{x} ) \times e {}^{x}$

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