Question

Question #9191f

Answer 1

`(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`