** This is seriously my 7th time creating this thread, please excuse my hastiness**
Hey there everyone, I would love for someone to help me out with this problem ASAP. Ive looked through my math book for the sugested method to do this based on example but I couldn't find it.
Sketch f(x), identify coordinates of any local min/max.
f(x) = 2-3x²+x^3
**What I did:: Well, since it's a Positive 3rd deg. there will be 2 turning points at most.. so.. in the derivative of f(x) those turning points should show up as zeros of the derivative?
f^1(x) = 1-6x+3x²
0 = [6+/- (root) 24]/6
x= 1.82 ; x= 0.2
**soo.. this is where im stuck..
do i plug the found values of x back into f(x)?
if so: f(0.2) = 2-3(0.2)^2+(0.2)^3
f(0.2) = 1.88
***Does this mean one of the local min/max coords is (0.2, 1.88)?
Thanks in advance to anyone who dares to tackle this monster