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Compute the derivative of f(x)=5^x^2+1 using logarithmic differentiation.

  • Calc -

    Check using the following formula:

    (5^g(x))'= (ln5)*(5^g(x))*(g'(x))

  • Calc -

    I never did like formulas.

    remember that derivative of ln(g(x))=g'(x)/g(x)
    here f(x)=5^(x^2+1)
    ln f(x)= (x^2+1)ln5
    take the derivative
    f'(x)/f(x)=2x*ln5 + 0

    Now comparing this to your 'formula':

    Hmmm same thing.

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