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The rate of increase of f(x)=x^(3)-5x^(2...

The rate of increase of `f(x)=x^(3)-5x^(2)+5x+25` is twice the rate of increase of x for x = ………..

A

`-3,-(1)/(3)`

B

`3,(1)/(3)`

C

`-3,(1)/(3)`

D

`3,-(1)/(3)`

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The correct Answer is:
B
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

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

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  3. A cone with its height equal to the diameter of the base is expanding ...

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  4. The rate of increase of f(x)=x^(3)-5x^(2)+5x+25 is twice the rate of i...

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  5. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

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  6. The rate of change of surface area of a sphere w.r.t. radius is ………..

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  7. The rate of change of volume of a cylinder w.r.t. radius whose radius ...

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  8. f(x)=tan^(-1)x-x, is …………

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  9. f(x)=2x-tan^(-1)x-log|x+sqrt(1+x^(2))| is ……….. (x in R)

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  10. If ……….., then f(x)=x^(2)-kx+20, [0,3] is strictly increasing.

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  11. f(x)=|x-1|+|x-2| is increasing if ………..

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  12. The points on the curve 9y^(2)=x^(3), where the normal to the curve ma...

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  13. y=mx+4 touches y^(2)=8x, if m = ………..

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  14. The measure of the angle between the curves y=2 sin^(2)x and y = cos 2...

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  15. The normal to x^(2)=4y passing through (1, 2) has equation ……….

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  16. The local minimum value of x^(2)+(16)/(x)(x ne 0) is ………….

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  17. The minimum value of sec x, x in [(2pi)/(3),pi] is ……….

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  18. The maximum value of cosec x, x in [(pi)/(6), (pi)/(3)] is ………

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  19. (31)^((1)/(5)) has approximate value ………..

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  20. f(x)=x^(2)+4x+5 has minimum value ………… (x in R)

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