Attachment 29064

I understand that $\displaystyle f(g(x))$ means $\displaystyle g(x)$ plugged into the function $\displaystyle f$ (at it's $\displaystyle x$ value). However we don't have the function, only a chart. How to get around this?

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- Aug 26th 2013, 05:34 PMJason76Derivative Chart and Composite Function
Attachment 29064

I understand that $\displaystyle f(g(x))$ means $\displaystyle g(x)$ plugged into the function $\displaystyle f$ (at it's $\displaystyle x$ value). However we don't have the function, only a chart. How to get around this? - Aug 26th 2013, 06:03 PMchiroRe: 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))? - Aug 26th 2013, 07:18 PMJason76Re: Derivative Chart and Composite Function
- Aug 26th 2013, 07:29 PMchiroRe: 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. - Aug 26th 2013, 09:15 PMJason76Re: Derivative Chart and Composite Function