3 / 2 \ x *\2*x - 1/
d / 3 / 2 \\ --\x *\2*x - 1// dx
Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
Differentiate term by term:
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The derivative of the constant is zero.
The result is:
The result is:
Now simplify:
The answer is:
4 2 / 2 \ 4*x + 3*x *\2*x - 1/