SOLUTION: i need the derivative of {{{ -2*x/(x^2+5) }}} i got {{{ 2/(x^2+5) }}} using the y=u/v ; y'= (vu'-uv')/v^2 rule.. but there has to be a relative max and a relative mi

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i need the derivative of {{{ -2*x/(x^2+5) }}} i got {{{ 2/(x^2+5) }}} using the y=u/v ; y'= (vu'-uv')/v^2 rule.. but there has to be a relative max and a relative mi      Log On


   



Question 248394: i need the derivative of
+-2%2Ax%2F%28x%5E2%2B5%29+
i got
+2%2F%28x%5E2%2B5%29+
using the y=u/v ; y'= (vu'-uv')/v^2 rule.. but there has to be a relative max and a relative min based on the graph of the original function, so there must be some value for which the derivative = 0. But if the numerator is a constant in the derivative, there is no possible x value for which the derivative = 0, so i feel like i must have gotten something wrong...

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let and . So and .


... Start with the quotient rule

... Plug in


... Distribute


... Combine like terms.


So the derivative of +-%282x%29%2F%28x%5E2%2B5%29+ is %282x%5E2-10%29%2F%28x%5E2%2B5%29%5E2