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In (0,(pi)/(2)),f(x)=xsinx+cosx+(1)/(2)c...

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

A

increasing

B

Decreasing

C

Constant

D

Nothing can be determined

Text Solution

Verified by Experts

The correct Answer is:
A
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AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  3. In (0,(pi)/(2)),f(x)=xsinx+cosx+(1)/(2)cos^(2)x is

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

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

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

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

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  8. The function x^x is decreases in

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

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

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

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

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

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

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

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

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  17. Let h(x)=f(x)-[f(x)]^(2)+[f(x)]^(3) for every real number 'x' then

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  18. The stationary points of f(x) =x^(3)-9x^(2)+24x-12are

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  20. The Stationary points of 8x^(2)-x^(4)-4 are

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