Q.#8 To date, we have used the standard form of the Chain Rule: [f(g(x)]' = f'(g(x)) g'(x). used by rewriting composition with: There also is an alternate form: dy dy du dx du dx u=g(x) for the inner function y=f(g(x))=f(u) for the outer function For example, h(x)=f(g(x)) = (3x+5) ³ becomes y=f(u) = u³3, where u = 3x +5 Using the above, please find the derivative of h(x) = f(g(x)) = (3x + 5)³ using: Final Answer a) Standard Form of Chain Rule: [f(g(x)] = f'(g(x)) g'(x) = b) Alternate Form of Chain Rule: dy dy du dx du dx Final Answer

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