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Math Help - Help with simple differentiation

  1. #1
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    Help with simple differentiation

    Hi,
    How do I solve for the following: d/dx [(0.1x + 0.4)log(0.1x + 0.4)]?

    I got the following answer but I think its wrong: (1/ln2) + 0.1log(0.1x + 0.4).

    Can somebody help?
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  2. #2
    MHF Contributor Calculus26's Avatar
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    what base log are you using ?

    at any rate I'll assume log base 2 from your answer
    first of all use the product rule:

    [.1x+.4] ' log(.1x+.4) + [.1x+.4] [log(.1x+.4)] '

    = .1 log(.1x +.4) + {1/ln(2)}(.1x +.4)(.1/(.1x + .4)

    = .1 log(.1x +.4) + .1/ln(2)
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  3. #3
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    Yes, its base 2. Thanks.
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