Posted by **Anonymous** on Sunday, October 7, 2012 at 10:15pm.

What is the derivative of (x^2+4x+5)/(x^3-2x)?

- Math -
**Reiny**, Sunday, October 7, 2012 at 10:31pm
quotient rule !

dy/dx = ( (x^3 - 2x)(2x + 4) - (x^2 + 4x + 5)(3x^2 - 2) )/(x^3 - 2x)^2

= etc

- Math -
**Anonymous**, Sunday, October 7, 2012 at 10:34pm
I know you use quotient rule. Is the answer (-x^4-8x^3-17x^2+8x+10)/(x^3-2x)^2

Thanks Reiny!

- Math -
**Reiny**, Sunday, October 7, 2012 at 10:42pm
If you are taking Calculus, surely you should have no difficulty expanding and simplifying

(x^3 - 2x)(2x + 4) - (x^2 + 4x + 5)(3x^2 - 2)

I will leave that up to you to check if your answer is correct.

(hint: the answer is yes)

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