Question

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

Answer 1

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

Answer 2

you need second derivative for this one

Answer 3

Should I rewrite it first?

Answer 4

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

Answer 5

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

Answer 6

okay I think I know how to work it now

Answer 7

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

Answer 8

okay well lets see what I get.

Answer 9

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

Answer 10

Where did I go wrong?