Calculus

Find the derivative of f(x)=e^(sin(1))+(sin(1))^x.

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  1. f(x)=e^(sin(1))+(sin(1))^x
    f'(x)=d(e^(sin(1)))/dx + d((sin(1))^x)/dx
    =0 + sin(1)^x*ln(sin(1)
    =sin(1)^x*ln(sin(1))

    Note:
    let y=a^x
    ln(y) = xln(a)
    y'/y = ln(a)
    y'=y*ln(a)=(a^x)ln(a)

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