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
1410 views around the world
You can reuse this answer
Creative Commons License