Apply the quotient rule, which is:
and .
To find :
Apply the power rule: goes to
To find :
Differentiate term by term:
The derivative of the constant is zero.
Apply the power rule: goes to
The result is:
Now plug in to the quotient rule:
Now simplify:
The answer is:
3 2*x 2*x - --------- + ------ 2 2 / 2 \ x - 4 \x - 4/
/ / 2 \\ | 2 | 4*x || | x *|-1 + -------|| | 2 | 2|| | 4*x \ -4 + x /| 2*|1 - ------- + -----------------| | 2 2 | \ -4 + x -4 + x / ----------------------------------- 2 -4 + x
/ / 2 \\ | 2 | 2*x || | 2*x *|-1 + -------|| | 2 | 2|| | 4*x \ -4 + x /| 12*x*|-2 + ------- - -------------------| | 2 2 | \ -4 + x -4 + x / ----------------------------------------- 2 / 2\ \-4 + x /