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

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