Can someone please check my homework?
Hi could one of the geniuses out there please check my homework?
Find the stationary points for f(x)=-2x^3+27x^2-84x+32
Stationary points x=2 x=7
Then classify the left hand side using the First Derivative Test
x=2 xl=1 xr=3
f'(1)=-6(1) (-32) =190 >0
f'(3)= -6 (3) (-32) =-576 <0
So f has a local minimum at x=2
Classify the right hand side using the Second Derivative Test
-6(2x) + 54
=-12x + 54
=-6(2x - 9)
For stationary point x=7 xl=6 xr=8
f"(8) = -6((2x8)-(9x8)=336>0
Find the y coordinates x=2 x=7
f(7)=-56+5103-588+32 = 4491
I know theres a lot but would be greatful for any help.
Can you please show me how you arrived at this!
Thanks for you speedy answer, I'm a little puzzled, can you break down how you arrived at the coordinates from [IMG]file:///Users/andystewart/Library/Caches/TemporaryItems/moz-screenshot.jpg[/IMG]-6(x-2)(x-7)=0.
I've tried most solutions and keep comming up with different coordinates!