Inverse Hyperbolic Functions. The Inverse Hyperbolic Sine, Inverse Hyperbolic Cosine & Inverse Hyperbolic Tangent.

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Presentation transcript:

Inverse Hyperbolic Functions

The Inverse Hyperbolic Sine, Inverse Hyperbolic Cosine & Inverse Hyperbolic Tangent

The Inverse Hyperbolic Cotangent, Inverse Hyperbolic Secant & Inverse Hyperbolic Cosecant

Derivatives of Inverse Hyperbolic Functions

Proofs

Example (1)

Example (2)

Example (3)

Integrals Involving Inverse Hyperbolic Functions

Example (1)

Example (2)

Example (3)

Example (4)

Logarithmic Expressions of inverse hyperbolic Functions

Proofs

Deducing the derivative formulas for inverse hyperbolic functions using their logarithmic expressions Question: Use their logarithmic expressions for the inverse hyperbolic sine, the inverse hyperbolic cosine and the inverse hyperbolic tangent to deduce their derivative formulas

Values