Find the mxima/minima?

Question

find the stationary points and any maxima minima of the function

6x^4 + 8x^3 - 12x^2 - 24x + 6

Answer 1

f'(x)=24x^3+24x^2-24x-24=0 ==> (x-1)(x+1)^2=0 ==> x=1 is a minima . but i dont know what is stationary  

Answer 2

i forgot, been too long since i seen this

Answer 3

the maxima and minima is where the slope of the tangent = 0 ( when the tangent is horizontal), the slope of the tangent at any point is equal to the first derivative of the function at this point f'(x)=0



f(x) = 6x^4 + 8x^3 - 12x^2 - 24x + 6

f'(x)=24X^3+24X^2-24X-24

solving this equation gives you 2 values x1 and x2

24X^3+24X^2-24X-24 =0

the great of f(x1) and f(x2) is the Maxima and smaller is the minima

easy, isn't it?