3 / 2 \ x *\x + 3/
d / 3 / 2 \\ --\x *\x + 3// dx
Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
Differentiate term by term:
Apply the power rule: goes to
The derivative of the constant is zero.
The result is:
The result is:
Now simplify:
The answer is:
4 2 / 2 \ 2*x + 3*x *\x + 3/