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Find the f'(3) of F(x)=9(sin(x))^x

  • Implicit diff. -

    take log on both sides, and differentiate. Solve for y'.

    (1/y)y' = ln(sin(x))+(x/sin(x))*cos(x)
    =9sin(x)^x * (ln(sin(x))+(x/sin(x))*cos(x))

    Simplify the answer and check.

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