SOLUTION: i need the derivative of {{{ (2x^2-10)/(x^2+5)^2 }}} i came up with a final answer of {{{ 4x*(-x^4+10x^2+75)/(x^2+5)^4 }}} but those numbers seem too weird for that to

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: i need the derivative of {{{ (2x^2-10)/(x^2+5)^2 }}} i came up with a final answer of {{{ 4x*(-x^4+10x^2+75)/(x^2+5)^4 }}} but those numbers seem too weird for that to       Log On


   



Question 248534: i need the derivative of
+%282x%5E2-10%29%2F%28x%5E2%2B5%29%5E2+
i came up with a final answer of
+4x%2A%28-x%5E4%2B10x%5E2%2B75%29%2F%28x%5E2%2B5%29%5E4+
but those numbers seem too weird for that to be the correct answer.. please help.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Everything is right except for one sign in the numerator:









We need the chain rule for this one:

Let , so and , hence:



Putting it all together:















Though I might have written it thus:



But that is just changing 'happy' to 'glad' actually.

John