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.
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 result is:
Now plug in to the quotient rule:
Now simplify:
The answer is:
2 1 2*x ------ + --------- 2 2 9 - x / 2\ \9 - x /
/ 2 \ | 4*x | 2*x*|3 - -------| | 2| \ -9 + x / ----------------- 2 / 2\ \-9 + x /
/ / 2 \\ | 2 | 2*x || | 4*x *|-1 + -------|| | 2 | 2|| | 4*x \ -9 + x /| 6*|1 - ------- + -------------------| | 2 2 | \ -9 + x -9 + x / ------------------------------------- 2 / 2\ \-9 + x /