Posted by **Olivia** on Sunday, November 25, 2012 at 8:47pm.

The derivative of a function is f'(x)=x(x+2)(x-5). Find the value of x at each point where f has a

(a) local maximum,

(b) local minimum, or

(c) point of inflection

- PLEASE HELP!! DESPERATE!!! (MATH) -
**bobpursley**, Sunday, November 25, 2012 at 8:55pm
Set f'=0

x=0,-2,5 for f' to be zero.

maximum is when f" is negative

a) f"=(x+2)(x-5)+x(x-5)+(x(x+2)

at x=0, f"=-10 so x=0 is max

b. f" at x=-2

f"=(0+ -2(-7) = positive, so at x=-2, it is minimum

c. f" at x=5

f"=0+0+35 positive, local maximum

check my calcs

- PLEASE HELP!! DESPERATE!!! (MATH) -
**bobpursley**, Sunday, November 25, 2012 at 8:56pm
oops, when f" is 35, local min

## Answer this Question

## Related Questions

- Math - The derivative of a function is f'(x)=x(x+2)(x-5). Find the value of x at...
- 12th Calculus - use the derivative of the function y=f(x)to find the points at ...
- calculus - a function has a local maximum at x=-2 and x=6 and a local minimum at...
- calculus - a function has a local maximum at x=-2 and x=6 and a local minimum at...
- Calculus (Urgent Help) - Okay, I need major help! Can someone tell me if these ...
- Calculus- answer check - A brand new stock is also called an initial public ...
- Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...
- Math - When you're finding the sign of f' and f'' to find a local maximum/...
- AP Calculus - Consider the curve given by x^2+4y^2=7+3xy a) Show that dy/dx=(3y-...
- calc. - I'm having a lot of trouble with this problem: Sketch the graph and show...

More Related Questions