finding the derivative f ' x?

Question

hi i would like to find out how to solve this problem

i am asking again as the way i worded the question came out with the wrong answer

i would like to find the derivative f ' x when f(x) = tan( 3 x^2 )
6*x(sec(3*x^2)^2) is not correct

thanks for your help. it is much appreciated

Answer 1

When f(x) = tan(3x^2),
f'(x) = sec^2(3x^2) . (6x) by the chain rule.

Why do you think this is incorrect?

Answer 2

The general derivative of tan x = sec^2 x, so
d/dx tan (3x^2) = sec^2 (3x^2), and with the Chain Rule it becomes
(sec^2 (3x^2))(6x). (6x)sec^2 (3x^2) is the correct answer any way you slice it.

Answer 3

((pi)(x))/(30(cos(3x^2))^2)