2.9 Calculus of the Hyperbolic Functions
LEARNING OBJECTIVES 2.9 Calculus of the Hyperbolic Functions
2.9.1 Apply the formulas for derivatives and integrals of the hyperbolic functions.
2.9.2 Apply the formulas for the derivatives of the inverse hyperbolic functions and their associated integrals.
2.9.3 Describe the common applied conditions of a catenary curve.
VIEW 2.9 Calculus of Hyperbolic Functions
- Introduction to Hyperbolic Functions
- Prove a Property of Hyperbolic Functions: (sinh(x))^2 - (cosh(x))^2 = 1
- Prove a Property of Hyperbolic Functions: (tanh(x))^2 + (sech(x))^2 = 1
- Prove a Property of Hyperbolic Functions: sinh(x+y)=sinh(x)cosh(y)+cosh(x)sinh(y)
- Prove a Property of Hyperbolic Functions: (sinh(x))^2=(-1+cosh(2x))/2
- Ex 1: Derivative of a Hyperbolic Function
- Ex 2: Derivatives of Hyperbolic Functions with the Chain Rule
- Ex 3: Derivative of a Hyperbolic Function Using the Product Rule
- Ex 4: Derivative of a Hyperbolic Function Using the Quotient Rule
- Ex 5: Derivatives of Hyperbolic Functions with the Chain Rule Twice
- Ex 1: Derivative of an Inverse Hyperbolic Function with the Chain Rule
- Ex 2: Derivative of an Inverse Hyperbolic Function with the Chain Rule
- Ex 3: Derivative of an Inverse Hyperbolic Function with the Chain Rule
This is the publicly accessible content from a course on MyOpenMath. There may be additional content available by logging in