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Math Help - [SOLVED] Derivative of a logarithmic function

  1. #1
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    [SOLVED] Derivative of a logarithmic function

    I'm having trouble figuring out the derivative to this function:
    f(t)=e^(2ln(t^3))

    What I did:
    f'(t)=e^(2ln(t^3)) x d/dt(2ln(t^3))
    =e^(2ln(t^3)) x 6/t

    Did I do this right? If I did is there any way I can simplify it more because it's not matching up to any of the answer choices I was given.
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  2. #2
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    Simplify first...

    f(t)=e^(2ln(t^3)) = (e^ln(t^3))^2 = ...?
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  3. #3
    Member kjchauhan's Avatar
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    f(t)=e^{2\ln t^3}

    \therefore f(t)=e^{\ln t^{3\times 2}}

    \therefore f(t)= t^{6}

    \therefore f'(t)=6 t^{5}
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