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Question

If the function f(x)=alog|x|+bx2+x has its extremum values at x=1 and x=2 then the values of a and b.


A
a=2 b=12
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B
a=12 b=2
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C
a=2 b=12
 
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D
a=2 b=12
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Solution

The correct option is C a=2 b=12
 
f(x) has its extremum values at 1 and 2, so f(1)=0=f(2),
f(x)=ax+2bx+1 

f(2)=a2+4b+1a+8b=2(1)
f(1)=a2b+1a+2b=1(2)

Solving equation (1) and (2),
a=2 and b=12
 

Mathematics

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