Derivative of trigonometric functions - Derivatives

Derivative of trigonometric functions

In this section, we will cover the six differential rules for trigonometric functions. In addition, continuing with the "Bracket Technique", we will integrate the differential rules for trig functions with the Chain Rule. As a memory trick, the derivative of any trig functions starting with "co-", such as cosine, cotangent and cosecant will be negative.


Differential Rules - Trigonometric Functions
ddxsinx=cosx\frac{{d}}{{{d}x}}\;\sin x = \cos x
ddxcosx=sinx\frac{{d}}{{{d}x}}\;\cos x = - \sin x
ddxtanx=sec2x\frac{{d}}{{{d}x}}\;\tan x = {\sec ^2}x
ddxcotx=csc2x\frac{{d}}{{{d}x}}{\;cot}x = - {\csc ^2}x
ddxsecx=secxtanx\frac{{d}}{{{d}x}}\;\sec x = \sec x{\;tan}x
ddxcscx=cscxcotx\frac{{d}}{{{d}x}}\;\csc x = - \csc x\;\cot x
Teacher pug

Derivative of trigonometric functions

Don't just watch, practice makes perfect.

We have over 350 practice questions in Calculus for you to master.