How to take the derivative of tan x?

We will discover how the derivative of tan x ends up being sec^2 x. Before we begin solving, we know that tan x is the same as sin x/cos x. Therefore, we can rewrite the equation, and continue solving it using the quotient rule.
TIMECODES:
0:00 Intro
0:13 Rewrite equation
0:34 Applying Quotient Rule
1:11 Simplifying expression
2:20 Final Answer
#derivatives #calculus #differentiation

[@user-ky5dy5hl4d]

Also from cos^2(x)+sin^2(x)/cos^2(x) we get 1+tan^2(x) which is by identity of
sec^2(x)-tan^(x)=1, we have sec^2(x).

[@saiamith203]

Amazing , just keep on posting more stuff

[@YeahMathIsBoring]

Thanks! I will try my best

[@archangecamilien1879]

Quotient rule...