`y = 2^sin(pi x)` Find the derivative of the function.

Expert Answers

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Let

`u = sin(pi*x)`

`y = 2^(u), (dy)/(du) = 2^(u)log2`

`(du)/(dx) = cos(pi*x) * pi`

and `y' = pi*log(2)*2^(sin(pi*x))*cos(pi*x)`

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