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In the interval (0pi//2) the fucntion ...

In the interval `(0pi//2)` the fucntion `f(x)= tan^nxcot^n` attains

A

1

B

0

C

2

D

`1//2`

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
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  2. If the normal to the curve x^(3) = y^(2) at the point (m^(2), -m^(3)) ...

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  3. Let f(x) =2 sin x + cos 2x (0 le x le 2pi) and g(x) = x + cos x then

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  4. In the interval (0pi//2) the fucntion f(x)= tan^nxcot^n attains

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  5. Find the number of points of local extrema of f(x)=3x^4-4x^3+6x^2+ax+b...

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  6. The shortest distance between line y-x=1 and curve x=y^2 is

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  7. The set of values of p for which the points of extremum of the functio...

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  8. If A gt 0 ,B gt 0 and A+B=pi/3,then the maximum value of tan A tan B ,...

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  9. The maximum value of |x log x| for 0 lt x le 1 is

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  10. The greatest value of the function log(x) 1//9 - log(3) x^(2) (x gt 1)...

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  11. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  12. An extremum value of the function f(x) = (sin^-1 x)^3 + (cos^-1 x)^3 (...

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  13. Let f(x) = x log x + 3x. Then

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  14. Let f(x)=x^2.e^(-x^2) then which one is incorrect? (A) f(x) has local...

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  15. The minimum value of f(x)=|3-x|+|2+x|+|5-x| is

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  16. Let f(x) = 2 + 2x -3x^(2//3) " on " [-1, 10//3]. Then f has

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  17. If f and g are defined on [0, oo) by f(x) = underset(n rarr oo)(lim) (...

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  18. Let the function f(x) = sin x + cos x, be defined in [0, 2pi], then f(...

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  19. If f(x)=x e^(x(1-x)), then f(x) is

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  20. The tangent to the curve y=e^x drawn at the point (c,e^c) intersects t...

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