What is the derivative of $e^{x} (sin x)$ $e^x(sinx)$ ?

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What is the derivative of $e^{x} (sin x)$ $e^x(sinx)$ ?

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Answer 1 · 2015-10-11T18:27:13

$e^{x} (cos x + sin x)$ $e^x(cosx+sinx)$

Explanation:

Since this is a product of 2 functions we may apply the product rule which states that the derivative of a product of 2 functions is the first function times the derivative of the second, plus the second function times the derivative of the first.

$therefored/dx e^xsinx=e^xcosx+e^xsinx$

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What is the derivative of $e^{x} (sin x)$ $e^x(sinx)$ ?

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