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:
4 4*x - 3 ----- - -------- x - 1 2 (x - 1)
/ -3 + 4*x\ 2*|-4 + --------| \ -1 + x / ----------------- 2 (-1 + x)