Monday

December 22, 2014

December 22, 2014

Posted by **Daniela Davila** on Friday, May 2, 2008 at 1:08pm.

Question:

This function has a local minimum at x=______ with a value _______ and a local maximum at x=________ with value _______?

- Business Calculus -
**drwls**, Friday, May 2, 2008 at 3:14pmTake the derivative of the function f(x) and set it equal to zero. Solve for x

f'(x) = 4 - 9x^-2. = 0

4 = 9/x^2

x^2 = 9/4

x = +___ or - ___

That tells you where the maxima and minima are. The second derivative tells you which it is. It is a maximum where f'(x) = 0 and f''(x) is negative.

This is basic important stuff. You should be asking how to do them, not what the answers are. Otherwise you won't learn the subject.

**Answer this Question**

**Related Questions**

Calculus - The function f(x)=-2x^3+30x^2-96x+8 has one local minimum & one local...

how to sketch a graph of.. - Local minimum and local maximum imply that the ...

Calculus - For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) ...

Calculus - For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) ...

Math-Graphs - graph g(x)=4(x^3)-24x+9 on a calulator and estimate the local ...

Calculus (help steve) - f(x)=−8x^3+6ax^2−3bx+4 has a local minimum ...

one more graph question - Hopefull the last one. :) Sketch the graph of a ...

CALCULUS HELP ASAP!:( - Find a cubic function, in the form below, that has a ...

Calculus - Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local ...

calculus - a function has a local maximum at x=-2 and x=6 and a local minimum at...