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Question

The global minimum value of f(x)=x4−x2−2x+6 is

A
6
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B
8
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C
4
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D
non existent
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Solution

The correct option is A 4
f(x)=x4x22x+6
f(x)=4x32x2=2(2x3x1)
for maxima or minima of f(x)
f(x)=0=2(2x3x1)=2(x1)(2x2+2x+1)
x=1
Hence fmax=4

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