Differentiating Hyperbolic Functions

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Presentation transcript:

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

Differentiating Hyperbolic Functions 15 February 2019 Ex Ex

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

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

Differentiating Inverse Trig Functions 15 February 2019 a y x Ex

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

Differentiating Inverse Hyperbolic Functions 15 February 2019 Ex

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

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.

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

? 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