SOLUTION: i need the derivative of {{{ (2*x^2-10)/(x^2+5)^2 }}} im not sure if that came out right with symbols, so i'm going to put it into mathematical terms as well... (2x squa

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: i need the derivative of {{{ (2*x^2-10)/(x^2+5)^2 }}} im not sure if that came out right with symbols, so i'm going to put it into mathematical terms as well... (2x squa      Log On


   



Question 248495: i need the derivative of
+%282%2Ax%5E2-10%29%2F%28x%5E2%2B5%29%5E2+
im not sure if that came out right with symbols, so i'm going to put it into mathematical terms as well...
(2x squared - 10) divided by (x squared + 5) squared.
i came up with a pretty crazy answer, and have no clue if it's right, it seems way too 'out there' to be correct...
+x%2A%28-4x%5E4%2B40x%5E2%2B300%29%2F%28x%5E2%2B5%29%5E4+
am i anywhere close?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
i need the derivative of
+%282%2Ax%5E2-10%29%2F%28x%5E2%2B5%29%5E2+
----------------------------
dy/dx[f/g] = [g*f' - fg']/g^2
------------------------------
Your Problem:
dy/dx = [(x^2+5)^2*(4x) - (2x^2-10)(2(x^2+5)(2x)]/[(x^2+5)^4
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Cheers,
Stan H.