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October 22, 2014

October 22, 2014

Posted by **Suzy** on Friday, November 2, 2007 at 6:51pm.

f(x) = (5x-3)^(1/3)

Note: I have gotten

f''(x) = (-50/9)(5x-3)^(-5/3)

I would like to know how to figure out the zeros.

- Calculus -
**Reiny**, Friday, November 2, 2007 at 7:52pmyou want to have (-50/9)(5x-3)^(-5/3) = 0

then (5x-3)^(-5/3) = 0

or

1/(5x-3)^(5/3) = 0

Clearly this has no solution.

Think of it this way:

1 divided by what number would give you zero?? There is no such number

So since your equation has no solution, there is no point of inflection.

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