Let f(x)=2x^2-8x^4. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordi

let f(x)=2x^2-8x^4. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima).

1.  
f is increasing on the intervals

2.  
f is decreasing on the intervals

3.  
The relative maxima of f occur at x =

4.  
The relative minima of f occur at x =

f'(x) = 4x - 32x^3

-4x(8x^2-1)=0

x=0, x=-(1/2√2), x=(1/2√2)

f is increasing on [0,(1/2√2)]

f is decreasing on[-∞,0]U[(1/2√2),∞]

f has relative max at x=(1/2√2)

f has relative min at x=0