tailieunhanh - Lecture Mathematics 53: Lecture 5.4 - UP Diliman

The main contents of this chapter include all of the following: Hyperbolic functions, identities involving hyperbolic functions, derivatives of hyperbolic functions, integrals of hyperbolic functions, inverse hyperbolic functions, derivatives of inverse hyperbolic functions, integrals yielding the inverse hyperbolic functions. | Hyperbolic Functions Inverse Hyperbolic Functions 1 Mathematics 53 Institute of Mathematics UP Diliman Instituteof Mathematics UP Diliman Hyperbolic Functions Mathematics53 1 51 For today Hyperbolic Functions Identities Involving Hyperbolic Functions Derivatives of Hyperbolic Functions Integrals of Hyperbolic Functions Inverse Hyperbolic Functions Derivatives of Inverse Hyperbolic Functions Integrals Yielding the Inverse Hyperbolic Functions Instituteof Mathematics UP Diliman Hyperbolic Functions Mathematics 53 2 51 Definition 1 The hyperbolic sine function denoted sinh is defined by sinh x ex e x 2 4 The hyperbolic cosine function denoted cosh is defined by Instituteof Mathematics UP Diliman cosh x ex e x 2 Hyperbolic Functions Mathematics 53 4 .

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