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Find the smallest and the largest values...

Find the smallest and the largest values of `tan^(-1) ((1 - x)/(1 + x)), 0 le x le 1`

A

`0,pi`

B

`0,(pi)/(4)`

C

`-(pi)/(4),(pi)/(4)`

D

`(pi)/(4),(pi)/(2)`

Text Solution

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The correct Answer is:
B
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  14. If 1/2 le x le 1 then cos^(-1)(4x^(3)-3x) equals

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  15. if -1/2 le x le 1/2 then cos^(-1)(4x^(3)-3x) equals

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  16. if -1 le x le -1/2 then cos^(-1)(4x^(3)-3x) equals

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  17. If 1 lt x lt 1 then tan^(-1) (2x)/(1-x^(2)) equals

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  19. if x in (-oo,-1) then tan^(-1)(2x)/(1-x^(2)) equals

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