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Unformatted text preview: 2 4 ) ( 2 3 x x x x f +--= Rule 5: The Derivative of the Exponential Function [ ] x x e e dx d = Example 8: Find the derivative: x e x x x f 6 2 4 3 ) ( 3 3 +-+ = Lesson 4 Basic Rules of Differentiation 3 Rule 6: The Derivative of an Exponential Function (base is not e ) [ ] ( 29 x x a a a dx d = ln Example 9: Find the derivative: x x f 4 ) ( = Rule 7: The Derivative of the Logarithmic Function [ ] x x dx d 1 | | ln = , provided x Example 10: Find the derivative: ) ln( 6 2 5 ) ( x x x f +--= Example 11: Find the derivative: x x x x x f 9 6 ) ( 2 10-+-= Example 12: Let 2 3 3 4 2 3 ) ( x x x f-= . Find ) ( ' f and ) 64 ( ' f . From this lesson, you should be able to State the basic rules for finding derivatives Select the appropriate rule to use for a given problem Find the derivative of a function using the basic rules...
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- Fall '08