Apply the quotient rule, which is:
and .
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:
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:
The answer is:
2 2*x - 3 ----- - -------- x - 2 2 (x - 2)
/ -3 + 2*x\ 2*|-2 + --------| \ -2 + x / ----------------- 2 (-2 + x)
/ -3 + 2*x\ 6*|2 - --------| \ -2 + x / ---------------- 3 (-2 + x)