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Math Help - compute derivatives

  1. #1
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    compute derivatives

    a mystery function L: (0,\infty) \rightarrow \mathbb{R} and you are told that
    L'(x)=1/x for all x > 0:
    Use this to compute the derivatives of the following functions:
    (a) f(x) = L(2x + 3) when x > 0;
    (b) g(x) = (L(x2))3 when x > 0;
    (c) h(x) = L(L(x)) when L(x) > 0 and x > 0.
    Make sure you justify all your steps.

    Can anyone please help me with this question?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by tsang View Post
    a mystery function L: (0,\infty) \rightarrow \mathbb{R} and you are told that
    L'(x)=1/x for all x > 0:
    Use this to compute the derivatives of the following functions:
    (a) f(x) = L(2x + 3) when x > 0;
    (b) g(x) = (L(x2))3 when x > 0;
    (c) h(x) = L(L(x)) when L(x) > 0 and x > 0.
    Make sure you justify all your steps.

    Can anyone please help me with this question?
    What have you tried?

    See what implicit differentiation will do for you and if you still have problems ask for more help in this thread.
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