Additional Resources
OpenStax Online Textbook
How to Read a Math Textbook
Additional Instructional Resources
Derivatives of Trigonometric Functions- DS2
Objectives
- Find the derivatives of the sine and cosine function.
- Find the derivatives of the standard trigonometric functions.
- Calculate the higher-order derivatives of the sine and cosine.
Summary
The derivatives of the other four trigonometric functions are
Each derivative exists and is defined on the same domain as the original function. For example, both the tangent function and its derivative are defined for all real numbers such that where
The four rules for the derivatives of the tangent, cotangent, secant, and cosecant can be used along with the rules for power functions, exponential functions, and the sine and cosine, as well as the sum, constant multiple, product, and quotient rules, to quickly differentiate a wide range of different functions.