How do you differentiate #x^2/(sqrt(x+2))-sqrt(x+2)/x^2#?
1 Answer
Aug 13, 2017
Please see below.
Explanation:
Let
Note that with
So
Use the quotient rule to find
# = (4x(x+2)-x^2)/(2(x+2)^(3/2))#
# = (3x^2+8x)/(2(x+2)^(3/2))#
So
# = (3x^2+8x)/(2(x+2)^(3/2))(1+(x+2)/x^4)#
Simplify further to taste.