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/sci/ - Science, Technology, Engineering, and Mathematics

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Anonymous 18/06/28(Thu)13:01 No. 16668 ID: c6e9b2

File 153018367186.jpg - (15.82KB , 500x500 , 3bfc065f.jpg )

Yay /sci/!

Does anyone please know of a way to determine if there's any local max and min *within a set range of X-coordinates*?

As we can see, there's a local max somwhere around -1 and a local min somwhere around 3 and none whatsoever in the range 1-2.

But how do I prove that there's no local max nor min in that range?

Anonymous 18/07/01(Sun)09:09 No. 16670 ID: af0184

First, what class are you taking? What level mathematics are you looking at?
Then, what is the f(x)?

Hopefully, calculus I. Take the derivative; set f(x)'=0, solve for all x values. That proves the only time slope=0 can be at those specific points (watch out for those pesky imaginary numbers).

We could also do a differential equation, i think. It looks like we have enough information from the graph to knock one out. However, its been awhile since I did one. Id need to review some notes.

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