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Math Help - Homework Problem

  1. #1
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    Homework Problem

    Hi,
    1.How would you differentiate (6^x)log_4 (x)? Note that the underscore here indicates subscript here.

    2. Solve for f'(x) given that :
    d/dx(f(4(x^5))=6(x^2)

    Please help! I have homework due!

    Thanks a lot.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by sgupta View Post
    Hi,
    1.How would you differentiate (6^x)log_4 (x)? Note that the underscore here indicates subscript here.
    You will need to use the product rule here.

    But recall that:

    \frac{d}{\,dx}\left[a^x\right]=a^x\ln a

    and

    \frac{d}{\,dx}\left[\log_a x\right]=\frac{1}{x\ln a}

    Can you take this one from here?

    --Chris
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  3. #3
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    Thanks,So this means..

    The answer is

    ((6^x)/(xln4))+ log_4(x)((6^x)(ln6))

    I assume this is right, since I have used the product rule as well as the formulae. But I keep getting an "Incorrect" on my webwork..

    Help!
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