Below are six facts about the values of two functions and and their derivatives. Find the rate of change of at . Could someone please explain how to solve this?
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Originally Posted by Haris Below are six facts about the values of two functions and and their derivatives. Find the rate of change of at . Could someone please explain how to solve this? The rate of change is calculated by the first derivation of a function: $\displaystyle (g(h(x))' = g'(h(x)) \cdot h'(x)$ Chain rule You know x = 9 you know h(9) = 6 you know g'(6) = 6 you know h'(9) = 8 That means $\displaystyle g(h(9))' = 6 \cdot 8 = 48$
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