What is the derivative of the following function? Thank you! THANK YOU
1 Answer
Mar 13, 2017
Explanation:
We can start by simplifying the function.
#f(x) = ((x + 1)(x - 1))/((x + 2)(x - 1))#
#f(x) = (x + 1)/(x + 2)#
Now, differentiate using the quotient rule.
#f'(x) = (1(x+ 2) - 1(x +1))/(x + 2)^2#
#f'(x) = (x + 2 - x - 1)/(x+ 2)^2#
#f'(x) = 1/(x + 2)^2#
Hopefully this helps!
