## anonymous 4 years ago Let f(x)=x^2-(1/sqrtx). What is the x-coordinate of the point of inflection?

1. anonymous

$f(x)=x^2-\frac{1}{\sqrt{x}}$

2. anonymous

you need second derivative for this one

3. anonymous

Should I rewrite it first?

4. anonymous

you can if that helps. write it as $x^2-x^{-\frac{1}{2}}$

5. anonymous

then $2x+\frac{1}{2}x^{-\frac{3}{2}}$ for the first one

6. anonymous

okay I think I know how to work it now

7. anonymous

ok good, but you have to get it out of exponential notation at the end so you can set it equal zero and solve

8. anonymous

okay well lets see what I get.

9. anonymous

so I'm stuck at $x^(-5/2)=8/3$

10. anonymous

Where did I go wrong?