When you have a function within a function (a.k.a. a composite function), use the chain rule to evaluate for the derivative!

Scenario: Evaluate for the derivative of the function below.

f(x) = sin(x)g(x) = x^{2}

PRO TIP: I purposefully left the g(x) = x^{2} highlighted so that you can see it doesn't change... only the derivative of the outer function f(x) = sin(x) is considered in the first term!

g(x) = x^{2}

f(x) = sin(x)

Answer: s'(x) = 2x cos(x^{2})

s'(x) = 2x cos(x^{2})

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