Chain rule

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) = x2

PRO TIP: I purposefully left the g(x) = x2 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!

Answer: s'(x) = 2x cos(x2)

Activate AutoScroll

You haven't unlocked all of MTH 141 yet...

Unlock our 54 concept breakdowns & 32 practice problems with guided solution walkthroughs!