Question

Find the derivative:

y=2e^(x^2+1)^3

i have so far 2(2x)e^(x^2+1)^3

Is this correct? How do I simplify furthere if it is?


Hmmmm.

d/dx (f(x))= d/du(f(u)) du/dx

let u= (x^2+1)^3

y= 2e^u

dy/du= 2e^u

du/dx= 3*(x^2+1)^2 * 2x

so...
dy/dx= dy/du *( du/dx)