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Math Help - Using provided chart to find derivative of indicated function

  1. #1
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    Using provided chart to find derivative of indicated function

    y=f(g(x))-g(x^2+1) at x=1

    f(x) = 3 g(x) = 2 f'(x)= -2 g'(x) = 4

    I have to find the derivative and use these values to calculate the answer, at x=1.

    I go the derivative to be

    f'(x)g(x)*g'(x) - g'(x^2+1) *2x (I know this is right)

    Plugging in I got -2*2*4 - g'(x^2+1) * 2

    The answer is -24 and I have no clue how to evaluate g'(x^2+1), i think it has to evaluate to 4 for the answer to make sense
    All help appreciated! Thanks!
    Last edited by mikewezyk; November 10th 2013 at 07:22 PM.
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  2. #2
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    Re: Using provided chart to find derivative of indicated function

    Hey mikewezyk.

    Hint When x = 1, g(x^2+1) = g(1+1) = g(2) = 2 and g'(x^2+1) = g'(1+1) = g'(2) = 4 just as you suspected.
    Thanks from mikewezyk
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