The Chain Rule

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The Chain Rule

• Section 2.4

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After this lesson, you should be able to

• Find the derivative of a composite function using
  the Chain Rule.
• Find the derivative of a function using the
  General Power Rule.
• Simplify the derivative using algebra.
• Find the derivative of a trigonometric function
  using the Chain Rule.

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The Chain Rule
To find the derivative of the composition of
functions.
If f(u) is a differentiable function of u and u
g(x) is a differentiable function of x, then y
f(g(x)) is a differentiable function of x and
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Extended Power Rule
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Example
Example Find the derivative
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Example
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Example
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Example
Using the Chain Rule w/ the Quotient Rule
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Example
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Example
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Example
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Example
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Example
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Example
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More Trig Derivatives
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Example
Using the chain rule twice.
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Homework
Section 2.4 page 137 7-27 odd, 41-57 odd, 61,
67, 71, 73, 85, 111