Question

How do you differentiate `y= -2( x^2 + 1 )^2` using the chain rule?

Answer 1

I found: `y'=-8x(x^2+1)`

Explanation:

Derive the square first as it is (in blue) and then multiply by the derivative of the argument (in red):
#y'=-2*color(blue)(2(x^2+1)^(2-1)) 2*color(red)(2x)=-8x(x^2+1)#