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Differentiation of Hyperbolic Functions. Differentiation of Hyperbolic Functions by M. Seppälä Hyperbolic Functions.

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Presentation on theme: "Differentiation of Hyperbolic Functions. Differentiation of Hyperbolic Functions by M. Seppälä Hyperbolic Functions."— Presentation transcript:

1 Differentiation of Hyperbolic Functions

2 Differentiation of Hyperbolic Functions by M. Seppälä Hyperbolic Functions

3 Differentiation of Hyperbolic Functions by M. Seppälä Formula Proof

4 Differentiation of Hyperbolic Functions by M. Seppälä Formula Proof

5 Differentiation of Hyperbolic Functions by M. Seppälä Formula Proof

6 Differentiation of Hyperbolic Functions by M. Seppälä Hyperbolic Functions: Sinh Definition sinh

7 Differentiation of Hyperbolic Functions by M. Seppälä Inverse Hyperbolic Functions Formula Proof

8 Differentiation of Hyperbolic Functions by M. Seppälä Hyperbolic Functions: Tanh Definition tanh

9 Differentiation of Hyperbolic Functions by M. Seppälä Formula Proof

10 Differentiation of Hyperbolic Functions by M. Seppälä Inverse Hyperbolic Functions Formulae

11 Differentiation of Hyperbolic Functions by M. Seppälä Hyperbolic Functions: Cosh Definition is an increasing bijection.

12 Differentiation of Hyperbolic Functions by M. Seppälä Derivatives of Inverse Hyperbolic Functions Formula

13 Differentiation of Hyperbolic Functions by M. Seppälä Formula Proof

14 Differentiation of Hyperbolic Functions by M. Seppälä Derivatives of Inverse Hyperbolic Functions Formulae

15

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