2.4: THE CHAIN RULE. Review: Think About it!!  What is a derivative???

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Presentation transcript:

2.4: THE CHAIN RULE

Review: Think About it!!  What is a derivative???

Why do we need the chain rule?  Find the derivative of (x 2 + 3x) 3  Find the derivative of (x 2 + 3x) 6

The Chain Rule  Take the derivative of the outter function times the derivative of the inner function.

Find the inner function (u = g(x)) and the outter function (y = f(u))  Y = 1/(x + 1)  Y = sin (4x)  Y =

Differentiate using the chain rule.  f(x) = (4x – 7x 2 ) 3  f(x) =

Homework: Due Tomorrow  P.130 #1 - 22