y= x^4-6x^3+12x^2-8x+1. find the maxima,minima and pt of infliction ... help me plz

Question

anonymous · Answer

$$y=x^4-6x^3+12x^2-8x+1 find the minima,maxima and pt of infliction$$

campbell_st · Answer

ok... you need the 1st derivative... 

solve it for x to find the stationary points. 

next find the 2nd derivative. 

solve it for x... possible points of inflection. 

with the stationary points from the 1st derivative, 

substitute them into the 2nd derivative to determine their nature

f"(a) > 0   minimum

f"(a) = 0  horizontal point of inflection

f'(a) < 0 maximum 


hope this helps...

campbell_st · Answer

you'll find the curve has 2 pts of inflection and 1 minimum

anonymous · Answer

Welcome:) If you need any assistance @Luigi0210 is at your service:)