Derivative of tan x
sec^2 x
The derivative of tan(x) can be found using the quotient rule of differentiation. The quotient rule states,
d/dx [f(x)/g(x)] = [g(x)f'(x) – f(x)g'(x)] / [g(x)]^2
Applying the quotient rule to the function tan(x), we get:
d/dx[tan(x)] = [sec^2(x) * 1 – tan(x) * sec^2(x) * 1]/[cos^2(x)]
= sec^2(x) – tan(x)sec^2(x)
= sec^2(x) [1 – tan(x)]
Therefore, the derivative of tan(x) is sec^2(x) times the quantity [1 – tan(x)].
More Answers:
Learn How To Find The Derivative Of Ln X | Math TutorialLearn How To Find Derivative Of Cot X Using Quotient Rule Of Differentiation
Discover How To Find The Derivative Of Sec X Using Quotient And Chain Rule.
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded