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f(x)=tan^(-1)(sinx+cosx),"then "f(x) is ...

`f(x)=tan^(-1)(sinx+cosx),"then "f(x)` is increasing in

A

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

B

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

C

`((5pi)/(4),(3pi)/(2))`

D

`(-2pi,-(7pi)/(4))`

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A, B, C, D
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (More Than One Correct Option Type Questions)
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  5. Let f(x)=In(2x-x^(2))+"sin" (pix)/(2). Then

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  7. If the maximum and minimum values of the determinant |(1 + sin^(2)x...

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  8. Let f(x)={:{(x^(2)+4x",",-3lexle0),(-sinx",",0ltxle(pi)/(2)),(-cosx-1"...

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  9. Let f(x)=ab sin x+bsqrt(1-a^(2))cosx+c, where |a|lt1,bgt0 then

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  10. If f(x)=int(x^(m))^(x^(n))(dt)/(Int),xgt0andngtm, then

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  11. f(x)=sqrt(x-1)+sqrt(2-x)andg(x)=x^(2)+bx+c are two given functions suc...

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  13. For the function f(x)\ =\ 1n\ (1-1n\ x) which of the following d...

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  14. The function f(x)={:{(x+2,ifxlt-1),(x^(2),if-1lexle1),((x-2)^(2),ifxge...

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  15. A function f is defined by f(x) = int0^pi cos t cos(x-t)dt,0 <= x <= 2...

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  16. Let f(x)=(x-1)/(x^(2)), then which of the following is incorrect?

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  17. Let f(x) be diferentiable function on the interval (-oo,0) such that...

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  18. If f:RrarrR(1)f(x) is a differentiable bijective function, then whic...

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  19. Let f:(0,oo)rarr(0,oo) be a derivable function and F(x) is the primiti...

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