Question

find y' and y'' for the equation below.

Show work please!!!

y= (x^3)/((x+1)^2)

Answer 1

https://www.wolframalpha.com/input/?i=derivative+of+%28x^3%29%2F%28%28x%2B1%29^2%29+

Answer 2

[(x+1)^2 (3 x^2)-x^3 (2)(x+1)] /(x+1)^4

[(x+1)(3x^2) - 2 x^3 ]/ (x+1)^3

[ 3 x^3 + 3 x^2 -2 x^3 ] / (x+1)^3

[ x^3 + 3 x^2] /(x+1)^3

x^2 (x+3) / (x+1)^3

Answer 3

then do it again :)

Answer 4

https://www.wolframalpha.com/input/?i=derivative+of+x^2%28x%2B3%29%2F%28x%2B1%29^3

6x / (x+1)^4