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f(x) =x^2 -(1/2)x^4
f'(x) =2x -2x^3
f'(x)=0
2x -2x^3 =0
x(x-1)(x+1) =0
x=0 or 1 or -1
f''(x) = 2- 6x^2
f''(0) = 2 >0 (min)
f''(1) = -4 < 0 (max)
f''(-1) = -4 < 0 (max)
f(0) =0 (min)
f(-1) = 1- 1/2 =1/2 (max)
f(1) = 1- 1/2 = 1/2 (max)
f'(x) =2x -2x^3
f'(x)=0
2x -2x^3 =0
x(x-1)(x+1) =0
x=0 or 1 or -1
f''(x) = 2- 6x^2
f''(0) = 2 >0 (min)
f''(1) = -4 < 0 (max)
f''(-1) = -4 < 0 (max)
f(0) =0 (min)
f(-1) = 1- 1/2 =1/2 (max)
f(1) = 1- 1/2 = 1/2 (max)
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