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The local maximum value of f(x)=x+(1)/(x...

The local maximum value of `f(x)=x+(1)/(x)` is ………….

A

2

B

`-2`

C

4

D

`-4`

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The correct Answer is:
B
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. f(x)=x^(x) decreases in ……….

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  2. f(x)=2|x-2|+3|x-4| is ………… in (2, 4).

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  3. The local maximum value of f(x)=x+(1)/(x) is ………….

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  4. The local minimum value of (x)/(log x) is ……….

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  5. If log(e )4=1.3868, then approximate value of log(e )4.01= …………..

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  6. The circumference of a circle is 20 cm and there is an error of 0.02 c...

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  7. If the line y = x touches the curve y=x^(2)+bx+c at (1, 1), then …………

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  8. y=ae^(x), y=be^(-x) intersect at right angles if ……….. (a ne 0, b ne 0...

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

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

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

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

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

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

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

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

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

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

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

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

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