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1 The Chain Rule Section 2.4
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2 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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3 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 or,
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4 Extended Power Rule (power rule) (extended power rule)
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5 Example Example*: Find the derivative
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6 Example
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8 Using the Chain Rule w/ the Quotient Rule
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9 Example
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10 Example
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11 Example
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12 Example
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13 Example Find the derivative of and
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14 Example
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15 More Trig Derivatives…
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16 Example Using the chain rule twice.
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17 Homework Section 2.4 page 137 #7-27 odd, 41-57 odd, 61, 67, 71, 73, 85, 111
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