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I need some help with calculus because my brain is blanking on some important info. Tried researching to no avail. How do you find a function from the derivative? Sounds like a dumb question but I can't remember. It ties into this question.

 

Let g be a function such that \(g'(t)=2t^2-t-6\). Find the set of all t such that g(t) is strictly increasing.

 Aug 25, 2022
 #1
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This should help:

I should have said the turning point values of t, not x!

 Aug 25, 2022
edited by Alan  Aug 25, 2022
 #2
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The graph you showed was the graph of g(t), right? From what I can see, the turning points are at -1.5 and 2? So does that mean the set is \((-\infty, \frac{-3}{2}) \cup (2, \infty)\)?

MobiusLoops  Aug 25, 2022
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Yes.

 Aug 25, 2022
 #4
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Thanks Alan! This really helped :)

MobiusLoops  Aug 25, 2022

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