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Math Help - function problemss 31

  1. #1
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    function problemss 31

    If F(x) = f( 2f( 4f( x ))), where f(0) = 0 and f '(0) = 3, find F '(0).
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Try to find F'(x)...

    Show your work.
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  3. #3
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    i am learning derivatives rite now and i have to use the information available and solve it.. i don't have an idea.. confused.. can some one else please help me with it !!
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  4. #4
    Behold, the power of SARDINES!
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    Quote Originally Posted by doboy View Post
    If F(x) = f( 2f( 4f( x ))), where f(0) = 0 and f '(0) = 3, find F '(0).
    let w=4f(x)
    u=2f(w) then

    F(x)=f(u)

    Now by the chain rule you get

    \frac{dF}{dx}=\frac{df}{du}\frac{du}{dw}\frac{dw}{  dx}=...
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