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Instructional Video

Derivatives of Hyperbolic Functions

Curated and Reviewed by Lesson Planet

Trig provides assistance in finding the derivatives of hyperbolic functions. The presentation provides an example of finding the derivative involving hyperbolic functions. Using the chain rule, the video finds the derivative of a function made up of sine and hyperbolic sine. The resource is the 17th in a series of 31 calculus videos.

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Concepts

derivatives, trigonometric functions, hyperbolic functions, differential calculus, sine, chain rule

Additional Tags

math

Instructional Ideas

Find the derivative of other hyperbolic functions using the same internal argument

Classroom Considerations

Individuals should be familiar with the derivatives of trigonometric functions and hyperbolic functions
Pupils need to know how to apply chain rule

This video is hosted on YouTube

Pros

Reminds the viewer of the derivatives of sine and hyperbolic sine
Takes one derivative at a time to easily show the steps

Cons

None

Hi, what do you want to do?

Derivatives of Hyperbolic Functions

Concepts

Additional Tags

Instructional Ideas

Classroom Considerations

Pros

Cons

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Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation

Calculus AB/BC - Derivative Rules: Constant, Sum, Difference, and Constant Multiple

Calculus AB/BC - Estimating Derivatives of a Function at a Point

Hi, what do you want to do?

Derivatives of Hyperbolic Functions

Concepts

Additional Tags

Instructional Ideas

Classroom Considerations

Pros

Cons

See similar resources:

Transforming the Graph of the Sine Function

Derivatives of inverse hyperbolic functions

Calculus AB/BC - Derivatives of tan(x), cot(x), sec(x), and csc(x)

Function Families and Their Connections Including Vertical Shift of an Absolute Value Function

Derivatives of Trig Functions

Average Value of a Function

Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)

Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation

Calculus AB/BC - Derivative Rules: Constant, Sum, Difference, and ​Constant Multiple

Calculus AB/BC - Estimating Derivatives of a Function at a Point

Calculus AB/BC - Derivative Rules: Constant, Sum, Difference, and Constant Multiple