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The function tan x - x , - pi/2 < x < pi...

The function tan x - x ,` - pi/2 < x < pi/2`

A

always increases

B

always decreases

C

never increases

D

sometimes increases and sometimes decreases.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
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  2. y=x(x-3)^(2) decreases for the values of x given by :

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  3. The function tan x - x , - pi/2 < x < pi/2

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  4. The function f(x) = x^2, for all real x is

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  5. The function f(x) = x^2 - 4x + 6 is

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  6. Find the intervals in which the function given by f(x) = sin 3x, x in ...

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  7. The function f(x)=4sin^(3)x-6sin^(2)x+12sinx+100 is strictly

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  8. Which of the following functions is decreasing on (0, pi/2)

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  9. On the interval (pi/4,pi/2), the function tan^-1 (sinx + cos x) is

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  10. Find the slope of the tangent to the curve y = x^3-x at x=2

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  11. The point on the curv3e y = sqrt(4x-3)-1, at which the slope of the ta...

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  12. The point on the curve y = x^2 - 4 x + 4 at which the tangent is paral...

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  13. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

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  14. The tangent to the curve y=e^(2x) at the point (0, 1) meets x-axis at ...

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  15. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

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  16. The point at which the curves x^2 =y and y^2 = x cut orthogonally is

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  17. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

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  18. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

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  19. The function f(x) = x has

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  20. The function f(x) = 2x^3 - 6x^2 + 6x + 5 has

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