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f(x)=2x+cot^(-1)x-log|x + sqrt(1+x^(2))|...

`f(x)=2x+cot^(-1)x-log|x + sqrt(1+x^(2))|` is …………..

A

decreasing on `(-oo, 0)`

B

decreasing on `(0, oo)`

C

constant

D

increasing on R

Text Solution

Verified by Experts

The correct Answer is:
D
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. y=ae^(x), y=be^(-x) intersect at right angles if ……….. (a ne 0, b ne 0...

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  2. Tangent to y=5x^(5)+10x+15 …………..

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  3. f(x)=2x+cot^(-1)x-log|x + sqrt(1+x^(2))| is …………..

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  4. The sum of two non - zero numbers in 12. The minimum sum of their reci...

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  5. The local minimum value of f(x)=x^(2)+4x+5 is ………..

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  6. The maximum value of f(x)=5cos x + 12 sin x is ………..

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  7. The minimum value of f(x)=3cos x + 4sin x is ………..

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  8. f(x)=x log x has minimum value ………

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  9. f(x)=sqrt(3)cos x + sin x, x in [0, (pi)/(2)] is maximum for x = …………

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  10. f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2) has minimum value at x = …………..

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  11. f(x)=(x+2)e^(-x) is increasing in ………….

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  12. The measure of the angle of intersection between y^(2)=x and x^(2)=y o...

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  13. The point where normal to y=x^(2)-2x+3 is parallel to Y-axis is ……….

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  14. The slope of normal to (3t^(2)+1, t^(3)-1) at t = 1 is ………….

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  15. The equation of normal to 3x^(2)-y^(2)=8 at (2, -2) is ……..

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  16. The angle made by the tangent with the + ve direction of X-axis to x=e...

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  17. The equation of tangent to y=cos x at (0, 1) is ………..

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  18. The equation of normal to y = sin x at ((pi)/(2),1) is ……….

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  19. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

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  20. The point on y^(2)=x where tangent makes angle of measure (pi)/(4) wit...

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