Local Maximum and Minimum of f(x) = -2x^3 + 30x^2 - 96x + 3

[gimmy]

attached picture easy stuff but don't know what im doing

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\(\displaystyle \mbox{The func}\mbox{tion }\, f(x)\, =\, -2x^3\, +\, 30x^2\, -\, 96x\, +\, 3\, \mbox{ has one local maximum}\)

\(\displaystyle \mbox{and one local minimum. Find the } x\mbox{- and }\, y\mbox{-values for each.}\)

 

[stapel]

attached picture easy stuff but don't know what im doing

Then the first thing you need is lesson instruction.

\(\displaystyle \mbox{The func}\mbox{tion }\, f(x)\, =\, -2x^3\, +\, 30x^2\, -\, 96x\, +\, 3\, \mbox{ has one local maximum}\)

\(\displaystyle \mbox{and one local minimum. Find the } x\mbox{- and }\, y\mbox{-values for each.}\)

We'll be glad to try to find online lessons for you, but it will be helpful for us to know how far back to go. Do you know anything about "taking derivatives"? If so, do you know how to take the derivative of polynomials? If so, please reply with that work. If not, have you taking any calculus at all? If not, in what class has this question come up, and what techniques are you supposed to be using? For instance, are you needing lessons on how to plug this into your graphing calculator?

Thank you!