Differentiation rules > Derivative of trigonometric functions
123456Derivative of trigonometric functions

## Theory

Differentiation of functions containing sine and/or cosine is based on:

• the derivative of $f\left(x\right)=sin\left(x\right)$ is $f\text{'}\left(x\right)=cos\left(x\right)$

• the derivative of $f\left(x\right)=cos\left(x\right)$ is $f\text{'}\left(x\right)=-sin\left(x\right)$

To find the derivative of a function containing sine and/or cosine you often need the other differentiation rules as well.

When differentiating a sinusoid, for instance, you need to take into account the chain rule and the rule of constants.