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The maximum value of f(x)=tan^(-1)(((sqr...

The maximum value of `f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3))` is

A

`18^(@)`

B

`36^(@)`

C

`22.5^(@)`

D

`15^(@)`

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  2. cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

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  11. Which one of the following statement is meaningless ?

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  17. Prove that : tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

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  19. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

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