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Math Help - Answer confirmation needed for 2 differentiation questions

  1. #1
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    Answer confirmation needed for 2 differentiation questions

    Could someone confirm these answers for me if they have time (I'm not sure about these ones because of the e's):

    Question:

    1.) Determine f'(0) for f(t)=2e^3t-5t
    2.)Evaluate h'(e) for h(x)=sqrt of ln x

    My answers:

    1.) f'(t) = 6e^3t-5
    f'(0) = 6-5
    f'(0) = 1

    2.) h'(x) = 1/2 * 1/x
    h'(x) = 1/2x
    h'(x) = 1/2e
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  2. #2
    Senior Member ecMathGeek's Avatar
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    Quote Originally Posted by SportfreundeKeaneKent View Post
    Could someone confirm these answers for me if they have time (I'm not sure about these ones because of the e's):

    Question:

    1.) Determine f'(0) for f(t)=2e^3t-5t
    2.)Evaluate h'(e) for h(x)=sqrt of ln x

    My answers:

    1.) f'(t) = 6e^3t-5
    f'(0) = 6-5
    f'(0) = 1

    2.) h'(x) = 1/2 * 1/x
    h'(x) = 1/2x
    h'(x) = 1/2e
    Number 1 is correct. 2 is not.

    h(x) = sqrt(lnx)
    h'(x) = 1/2(lnx)^(-1/2)*1/x
    h'(e) = 1/2(lne)^(-1/2)*1/e = 1/2(1)/e = 1/(2e)
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