Tuesday

March 31, 2015

March 31, 2015

Posted by **kchik** on Thursday, November 22, 2012 at 5:58am.

- calculus -
**Steve**, Thursday, November 22, 2012 at 7:38pmf = 2/3 x^3 + 3/2 x^2 - 2x + 5

f' = 2x^2 + 3x - 2

f'' = 4x + 3

f has min/max at f'=0, or x= -2 or 1/2

f''(-2) < 0 so f has a maximum there

f''(1/2) > 0 so f has a minimum there

From what you know about the general shape of cubics, this should make sense.

**Answer this Question**

**Related Questions**

Calculus - Find the relative extrema, if any, of the function. Use the second ...

Please check my Calculus - 1. Find all points of inflection: f(x)=1/12x^4-2x^2+...

Calculus - Please check, if there is something wrong please explain what I did ...

Please check my Calculus - 1. Which of the following describes the behavior of f...

math - Find the relative extrema, if any, of the function. Use the second ...

Calculus Grade 12 University - Use the second derivative test to find the local ...

math - A function is given by, f(x,y) = x^4 - y^2 - 2x^2 + 2y - 7 Using the ...

calculus - find the local maximum and minimum values of f using both the first ...

AP Calculus - Consider the curve given by x^2+4y^2=7+3xy a) Show that dy/dx=(3y-...

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