Question

derrivative of sec(3x-2)

Answer 1

do you know chain rule ?

Answer 2

no

Answer 3

Chain rule :
\((f(g(x))' = f'(g(x)) \times g'(x)\)
here, first tell me whats the derivative of sec x ?

Answer 4

sec x times tan x

Answer 5

and derivative of 3x-2 ?

Answer 6

3

Answer 7

yes, correct.
so, (sec (3x-2))' = sec (3x-2) tan (3x-2) * (3x-2)' =3sec (3x-2) tan (3x-2)
got this ?

Answer 8

yes

Answer 9

good! thats your final answer as it cannot be further simplified. Ask for doubts, if any.