Question #9191f

1 Answer
Mia
Nov 29, 2016

(sec(3x-2))'=3sec(3x-2)tan(3x-2)

Explanation:

This function is composed of two functions secx " "and" " 3x-2
" "
Differentiating this function is determined by applying chain rule.
" "
Knowing the derivative of (secx)'=tanxsecx

Chain Rule:
" "
(f(g(x)))'=f'(g(x))xxg'(x)
" "
(sec(3x-2))'=sec'(3x-2)xx(3x-2)'
" "
(sec(3x-2))'=sec(3x-2)xx tan(3x-2)xx3

Related questions
See all questions in Differentiating Inverse Trigonometric Functions
Impact of this question
1549 views around the world
You can reuse this answer
Creative Commons License