It would be greatly appreciated if anyone can provide a detailed solution to finding the derivative of; $\displaystyle (x^2 - 9) sqrt(x+2)$

Thanks in advance!

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- Oct 19th 2009, 04:36 PMArchduke01Derivatives - product/quotient/chain rule
It would be greatly appreciated if anyone can provide a detailed solution to finding the derivative of; $\displaystyle (x^2 - 9) sqrt(x+2)$

Thanks in advance! - Oct 19th 2009, 04:43 PMskeeter
- Oct 19th 2009, 05:16 PMArchduke01
I keep getting $\displaystyle [2x(x+2) + (x^2 + 9)] / sqrt (t+2)$.

I need someone to provide steps so I can see where I went wrong. - Oct 19th 2009, 05:37 PMskeeter
product rule ...

$\displaystyle \frac{d}{dx}(f \cdot g) = fg' + gf'$

$\displaystyle \frac{d}{dx}[(x^2-9)\sqrt{x+2}]$

$\displaystyle (x^2-9) \cdot \frac{1}{2\sqrt{x+2}} + \sqrt{x+2} \cdot 2x$ - Oct 19th 2009, 05:43 PMArchduke01
Thanks, I know the product rule - my answer was the simplified version of what that but somewhere in my simplification I went wrong. How do I proceed from what you've posted? Or is that as far as we're supposed to go?

- Oct 19th 2009, 06:02 PMskeeter