anonymous
  • anonymous
Let f(x)=x^2-(1/sqrtx). What is the x-coordinate of the point of inflection?
Mathematics
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anonymous
  • anonymous
Let f(x)=x^2-(1/sqrtx). What is the x-coordinate of the point of inflection?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[f(x)=x^2-\frac{1}{\sqrt{x}}\]
anonymous
  • anonymous
you need second derivative for this one
anonymous
  • anonymous
Should I rewrite it first?

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anonymous
  • anonymous
you can if that helps. write it as \[x^2-x^{-\frac{1}{2}}\]
anonymous
  • anonymous
then \[2x+\frac{1}{2}x^{-\frac{3}{2}}\] for the first one
anonymous
  • anonymous
okay I think I know how to work it now
anonymous
  • 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
anonymous
  • anonymous
okay well lets see what I get.
anonymous
  • anonymous
so I'm stuck at \[x^(-5/2)=8/3\]
anonymous
  • anonymous
Where did I go wrong?

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