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Math Help - Derivative Chart and Composite Function

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    Derivative Chart and Composite Function

    Derivative Chart and Composite Function-composite-function-chart.jpg

    I understand that f(g(x)) means g(x) plugged into the function f (at it's x value). However we don't have the function, only a chart. How to get around this?
    Last edited by Jason76; August 26th 2013 at 05:38 PM.
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    Re: Derivative Chart and Composite Function

    Hey Jason76.

    Hint: Use the chain rule where h'(x) = g'(x)f'(g(x)) (What x corresponds to the one in line with h'(30))?
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    Re: Derivative Chart and Composite Function

    Quote Originally Posted by chiro View Post
    Hey Jason76.

    Hint: Use the chain rule where h'(x) = g'(x)f'(g(x)) (What x corresponds to the one in line with h'(30))?
    The answer is 50, but the chart seems to be saying 30 If you look at the line for g(x) at 30, then you get 20
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    Re: Derivative Chart and Composite Function

    g(30) = 20, f(20) = 8 with derivatives:
    g'(30) = 10, f'(20) = 5 so this means

    h'(30) = g'(30)*f'(20) = 10*5 = 50.
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    Re: Derivative Chart and Composite Function

    Quote Originally Posted by chiro View Post
    g(30) = 20, f(20) = 8 with derivatives:
    g'(30) = 10, f'(20) = 5 so this means

    h'(30) = g'(30)*f'(20) = 10*5 = 50.
    ok thanks. Makes sense.
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