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Question

If Rolle's theorem holds for the function f(x)=2x3+bx2+cx,x[1,1],at the point x=12, then 2b+c equals :

A
1
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B
2
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C
1
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D
3
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Solution

The correct option is C 1

By Rolle's theorem
f(1)=f(1)2+b+c=2+bcc=2f(x)=6x2+2bx+cf(12)=32+b+c=0b=12So,(2b+c)=1

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