Wednesday

April 23, 2014

April 23, 2014

Posted by **Math** on Thursday, November 22, 2012 at 8:08pm.

Thank you so much!!

- Jessica -
**Steve**, Thursday, November 22, 2012 at 11:45pmf = 3x^3−18x^2+27x−10

f' = 9x^2 - 36x + 27 = 9(x^2-4x+3) = 9(x-1)(x-3)

so, f has a relative min/max at x=3

From what you know about the general shape of cubics, it should be clear that (3,-10) is a relative min.

since

f(2) = -4

f(4) = 2,

f(3) = -10 is the absolute min within the interval

f(4) = 2 is the absolute max in the interval

**Related Questions**

Calculus (pleas help!!!) - Find the absolute maximum and absolute minimum ...

Calculus (pleas help!!!) - Find the absolute maximum and absolute minimum values...

calculus - Find the absolute maximum and absolute minimum values of f on the ...

calculus - Find the absolute maximum and absolute minimum values of f on the ...

Calculus - Find the absolute maximum and the absolute minimum values of f(x)=x&#...

biology - Given the part of the molecule shown below, can the underlined atom ...

maths - As x,y,z ranges over all possible real numbers, what is the minimum ...

Math I'm so confused - Find the absolute maximum and absolute minimum values, if...

calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...

calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...