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3.3 Rules for Differentiation. What you’ll learn about Positive Integer Powers, Multiples, Sums and Differences Products and Quotients Negative Integer.

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Presentation on theme: "3.3 Rules for Differentiation. What you’ll learn about Positive Integer Powers, Multiples, Sums and Differences Products and Quotients Negative Integer."— Presentation transcript:

1 3.3 Rules for Differentiation

2 What you’ll learn about Positive Integer Powers, Multiples, Sums and Differences Products and Quotients Negative Integer Powers of x Second and Higher Order Derivatives … and why These rules help us find derivatives of functions analytically in a more efficient way.

3 Rule 1 Derivative of a Constant Function

4 Rule 2 Power Rule for Positive Integer Powers of x.

5 Rule 3 The Constant Multiple Rule

6 Rule 4 The Sum and Difference Rule

7 Example Positive Integer Powers, Multiples, Sums, and Differences

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9 Rule 5 The Product Rule

10 Example Using the Product Rule

11 Rule 6 The Quotient Rule

12 Example Using the Quotient Rule

13 Rule 7 Power Rule for Negative Integer Powers of x

14 Example Negative Integer Powers of x

15 Second and Higher Order Derivatives

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17 Quick Quiz Sections 3.1 – 3.3

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