How do you find the derivative of #y=e^(x^2)# ?
You could do this problem by using the chain rule. You have a function "within a function", so by the chain rule, you would derive the "outer" function first (while leaving the inner function alone) and then you would times that by the derivative of the "inner" function.
So in this case
Let's derive the outer function first (while leaving the inner function alone, that is):
Deriving the inner function:
Combining the two through multiplication, the actual derivative is: