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Derivatives: Chain Rule

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For a composite function f(x) = g(u(x)) state the chain rule for the derivative f(x).
For each of the following functions, compute the derivative, simplifying your answers.
f(x)=ln(1 + x^2)
f(x)= sin(x^2)
f(x) = (sin x)^2

(a) For a composite function f(x) = g(ti(x)), state the chain rule for the derivative of f (x). For each of the following functions, compute the derivative, simplifying your answers:
(b) f(x) = in(1 + x2) (c) f(x) = sin(x2) (d) (x) = (sin x)2

Solution Summary

Derivatives are found using the Chain Rule.

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