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Differentiating Hyperbolic Functions

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Presentation on theme: "Differentiating Hyperbolic Functions"— Presentation transcript:

1 Differentiating Hyperbolic Functions
15 February 2019 Idea The derivatives of hyperbolic functions follow from their exponential definitions ?

2 Differentiating Hyperbolic Functions
15 February 2019 Ex Ex

3 Differentiating Hyperbolic Functions
15 February 2019 Ex Page 48 Exercise 3A Ex

4 Differentiating Inverse Trig Functions
15 February 2019 Idea The derivatives of inverse trigonometric functions are obtained by chain rule 1 y x Ex

5 Differentiating Inverse Trig Functions
15 February 2019 a y x Ex

6 Differentiating Hyperbolic Functions
15 February 2019 Ex Page 53 Exercise 3C

7 Differentiating Inverse Hyperbolic Functions
15 February 2019 Ex

8 Differentiating Inverse Hyperbolic Functions
15 February 2019 Ex Page 48 Exercise 3B

9 Derivatives of Inverse Functions
Summary 15 February 2019 Page 52 Exercise 3D This list will prove a valuable toolkit for integrating quotients as we shall soon see.

10 Differentiating Hyperbolic Functions
15 February 2019 Ex Page 206 Exercise 10B Questions 1 and 14

11 ? M1 Labels Ex Ex Def. Idea Reference to previous module 1
15 February 2019 M1 Reference to previous module 1 ? Quick Question Def. Definition Idea Key Idea Ex Example Ex Exercise


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