Derivatives of ALL trig functions (proofs!)

Derivatives of trig functions! We will go over the proofs of the derivatives of all the trigonometric functions. The good news is we just need to use the definition of derivative only one that and that is to prove the derivative of sin(x) is cos(x). Then we can use the power rule, chain rule, and also quotient rule for the other functions.

Hope this video helps! This is for both calculus 1 and calculus 2 students. If you need lots of derivative examples, then check out 100 derivatives:    • 100 calculus derivatives (I did 100 f...  

0:00 dear calculus students!
0:09 derivative of sin(x) by the definition
5:46 derivative of cos(x) by the co-identity and the chain rule
9:02 derivative of tan(x) by the quotient rule
11:01 derivative of cot(x) by the quotient rule
14:01 derivative of sec(x)=(cos(x))^-1 by the power and the chain rules
17:45 derivative of csc(x)=(sin(x))^-1 by the power rule and the chain rules

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"Just Calculus" is dedicated to students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives and their applications, integration techniques and their applications, separable differential equations, and a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos.
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