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\(\ \Huge So far, I have: \)
\(\ \Huge f'(x)=3x^2-8x+5, \)
\(\ \Huge f"(x)=6x-8. \)

Okay, so where did I go wrong?

Okay, that's the correct f(x). I was looking at a different equation when typing the function...

How do I do that?

What does the first derivative determine then?

And, how do I determine the values for which this function is positive?

now*

yes, concave up in that interval. The left "(" should be a "["

Okay! I thought it was a ( because the inequality was greater than not greater than or equal to

You are understanding this problem well now it seems.

:)

You are quite welcome! Nice working with you!

It was nice working with you, as well :)