Question #9191f

1 Answer
Nov 29, 2016

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

Explanation:

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

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