Derivative of sec x
sec x tan x
The derivative of sec x can be found using the quotient rule and the chain rule.
Let y = sec x
Using the quotient rule, we have:
y’ = [d/dx (1)] cos x – [d/dx (cos x)] sec^2 x
Simplifying this expression, we get:
y’ = 0 – (-sin x/ cos^2 x)
y’ = sin x/ cos^2 x
Using the identity tan x = sin x/ cos x, we can rewrite the derivative as:
y’ = tan x sec x
Therefore, the derivative of sec x is tan x sec x.
More Answers:
How To Derive The Derivative Of B^X With Step-By-Step GuideLearn How To Find The Derivative Of Ln X | Math Tutorial
Learn How To Find Derivative Of Cot X Using Quotient Rule Of Differentiation
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded