How to find the derivative of sec x tan x?

Gorjamskiw

Gorjamskiw

Answered question

2023-02-19

How to find the derivative of sec x tan x?

Answer & Explanation

Cailyn Knight

Cailyn Knight

Beginner2023-02-20Added 7 answers

Use the product rule and derivatives of trigonometric functions.
Explanation: d d x ( sec x tan x ) = d d x ( sec x ) tan x + sec x d d x ( tan x )
= ( sec x tan x ) tan x + sec x ( sec 2 x )
= sec tan 2 x + sec 3 x
Thus, = sec x ( tan 2 x + sec 2 x )

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