## anonymous 5 years ago Square root of X (X+1) Derivatives help

1. anonymous

Is it $\sqrt{x}(x+1)$ or $\sqrt{x(x+1)}$ ?

2. anonymous

√x (x+1)

3. anonymous

Ok, so $x^{1/2}(x+1)$

4. anonymous

I'd probably multiply it out, then take the derivative.

5. anonymous

If it is all under the radical then you'll need to use the chain rule instead.

6. anonymous

Yes you are right on both cases.

7. anonymous

My bad lol. I thought you were the one needing help polpak haha. Sorry.

8. anonymous

$\frac{d}{dx}[ x^{3/2} + x^{1/2}] = \frac{3x^{1/2}}{2} + \frac{1}{2x^{1/2}}$ Then simplify.

9. anonymous

how did u get x^3/2+X^1/2

10. anonymous

$x^{1/2}(x+1) = x^{1/2}*x^1 + x^{1/2}*1 = x^{\frac{1}{2}+1} +x^{1/2}$ $= x^{3/2} +x^{1/2}$