Find a point of maxima and minima if these exists for the function f(x)=12x^6-4x^4+15x^3-1?

Question

Please help me very fast if you all know the answer.

Answer 1

this isnt geography but hey i know the answer sooo....

differentiate f(x): f'(x)72x^5-16x^3+45x^2

at stationary point f(x)=0 as gradient =0 yer

so then just solve f'(x)=0

stick it into your graphical calculator for the solutions (i cant find mine right now :(  

then put the x's separately into f''(x)=360x^4-48x^2+90x

if the answer is negative it is a MAX point and if positive its a MIN

hope this helps :)