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Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 ...

Let `f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1)x x gt 0` function fx) is continuous everywhere but not differentiable at x equals to

A

1

B

`-1`

C

0

D

`1/sqrt 2`

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The correct Answer is:
C
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  3. Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...

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  4. Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R. The function f(x) is continu...

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  5. Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

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  6. Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...

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  7. If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4where a, b, c , a...

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  8. Solutions of sin^(-1) (sinx) = sinx are if x in (0, 2pi)

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  9. The equation e^(sin^(-1)x)/pi=y/(log y) has

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  10. Let f(x) =1+2sin(e^x/(e^x+1)) x ge 0 then f^(-1)(x) is equal to (assu...

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  11. cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

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

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  13. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then x=tan2^0 (b) x=tan4^0 x=tan1/4...

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  14. If tan^(-1)(sin^2theta-2sintheta+3)+cot^(-1)(5^sec^(2y)+1)=pi/2, then ...

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  15. The number of solution of the equation |tan^(-1)|x||=sqrt((x^(2)+1)^(2...

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  16. For any real number x ge 1, the expression sec^(2)x ( tan^(-1)x) - ...

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  17. Let f : R to [0, pi/2) be defined by f ( x) = tan^(-1) ( x^(2) + x +...

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  18. The value of expression tan^(- 1)((sqrt(2))/2)+sin^(- 1)((sqrt(5))/5)-...

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  19. The value of sec ( 2 cot^(-1) 2 + cos^(-1) . 3/5) is equal to

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  20. Which one of the following statement is meaningless ?

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