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What is the derivative of 4^[sin(pi*x)]? And how do you go about solving it? thanks

  • Calc -

    4^[sin(pi*x)] =

    exp[log(4) sin(pi x)]

    So, by the chain rule, the derivative is:

    exp[log(4) sin(pi x)] log(4) pi
    cos(pi x) =

    pi log(4) 4^[sin(pi x)] cos(pi x)

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