2 -1 - x ------- x
/ 2\ d |-1 - x | --|-------| dx\ x /
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 :
Apply the power rule: goes to
Now plug in to the quotient rule:
Now simplify:
The answer is:
/ 2\ | 1 + x | 2*|1 - ------| | 2 | \ x / -------------- x
/ 2\ | 1 + x | 6*|-1 + ------| | 2 | \ x / --------------- 2 x