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f(x)=tan^(-1)(sinx) is decreasing in...

`f(x)=tan^(-1)(sinx)` is decreasing in

A

`(2npi-(pi)/(2),2npi+(pi)/(2))`

B

`(2npi+(pi)/(2),2npi+(3pi)/(2))`

C

`((-pi)/(2),(pi)/(2))`

D

`((pi)/(2),(3pi)/(2))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  2. The function sinh (sin x) increasing in

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  3. f(x)=tan^(-1)(sinx) is decreasing in

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  4. f(x)=sinx-ax is decreasing in R if

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  5. tan x gt x when x lies in

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  6. f(x)=2x-Tan^(-1)x-log(x+sqrt(1+x^(2))(xgt0) is increasing in

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  7. In (0,(pi)/(2)),f(x)=xsinx+cosx+(1)/(2)cos^(2)x is

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  8. f(x)=(1)/(2)sinxtanx-log(secx) is increasing in

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  9. The function f(x)=cosx-2lambda x is monotonicallly decreasing when

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  10. The function f(x)=Tan^(-1) (sinx+cosx) is an increasing function in

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  11. On which the following intervals in the function x^(100)+sinx-1 decre...

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  12. The function x^x is decreases in

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  13. The function f(x)=sum(K=1)^(5)(x-K)^(2) assumes the minimum value of x...

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  14. Let f(x)=xsqrt(4ax-x^(2)),(agt0) . Then f(x) is

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  15. If phi(x) is polynomial function and phi(x)gtphi(x)AAxge1andphi(1)=0,t...

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  16. Let f(x) be a function such that f'(x)=log(1//3)[log(3)(sinx+a)]. If f...

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  17. f:RtoR,f(x) is differentiable such that f(f(x))=k(x^(5)+x),(kne0). T...

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  18. f(x)=4tanx-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2),

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  19. f(x)=(asinx+b cosx)/( csinx+dcosx) is an increasing funtion if

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  20. f(x)=(sinx)/(x) is

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