I am supposed to find the derivative of: x(3-x^2)^-2
The chain rule
The Attempt at a Solution
Well I feel that I am good at using the chain rule but something tells me I can't use it here, because when I do, I only get about half of the answer.
But anyway, I multiplied x by -2 , which I multiplied by the group (3-x^2)^-3. Then I multiplied that term by the derivative of the first group, (3-x^2), and got: 4x^2 * (3-x^-2)^-3
however, the right answer is listed as: 4x^2 *(3-x^2)^-3 + (3-x^2)^-2
for some reason I don't think the chain rule applies to this problem? or perhaps I am doing it wrong... I would appreciate any help or explanation