# What is the derivative of #2^sin(pi*x)#?

Applying the following common differentiation rules:

We arrive at the subsequent outcome:

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Remember that:

As a result, you receive:

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The derivative of (2^{\sin(\pi x)}) with respect to (x) is:

[ \frac{d}{dx} \left(2^{\sin(\pi x)}\right) = 2^{\sin(\pi x)} \cdot \ln(2) \cdot \pi \cos(\pi x) ]

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