How do you find the derivative of $8^(cospix)$ ?

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Answer 1 · 2015-04-01T17:06:03

The Chain Rule, as well as facts about derivatives of exponential functions and trigonometric functions, gives the answer:

$frac{d}{dx}(8^{\cos(\pi x)})=\ln(8)\cdot 8^{\cos(\pi x)}\cdot (-\pi\sin(\pi x))$

How do you find the derivative of 8^(cospix)8^(cospix)?