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Maximum value of the expression (10x^...

Maximum value of the expression
` (10x^(12))/(x^(24)+2x^(12)+3x^(16)+3x^(8)+1)`

A

1

B

2

C

10

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
`f(x)=(10)/(x^(12)+2+3x^(4)+(3)/(x^(4))+(1)/(x^(12)))`
`=(10)/((x^(4)+(1)/(x^(4)))^(3)+2)`
As `x^(4)+(1)/(x^(4))ge2`
`rArr(x^(4)+(1)/(x^(4)))^(3)+2ge10`
`:. F(x) le(10)/(10)`
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