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The volume of a cube is increasing at a ...

The volume of a cube is increasing at a constant rate. Prove that the increase in surface area varies inversely as the length of the edge of the cube.

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RD SHARMA ENGLISH-DERIVATIVES AS A RATE MEASURER -All Questions
  1. differentiate xsinx with respect to x.

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  2. The volume of a cube is increasing at a rate of 9 cm^3/sec . How fast...

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  3. The volume of a cube is increasing at a constant rate. Prove that the ...

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  4. find f ' (x) if f(x) = sinxlogx

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  5. For the curve y=5x-2x^3 , if x increases at the rate of 2 units/sec, t...

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  6. The length  of a rectangle is decreasing at the rate of 2 cm/sec a...

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  7. find f '(x) if f(x)= log(logx)

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  8. find dy/dx if y= sinx.cosx

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  9. find dy/dx if y = x tanx

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  10. A ladder of length 5 m is leaning against a wall. The bottom of ladde...

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  11. The two equal sides of an isosceles triangle with fixed base b are dec...

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  12. An airforce plane is ascending vertically at the rate of 100 km/h. ...

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  13. Water is dripping out from a conical funnel of semi-vertical angle pi/...

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  14. Sand is pouring from a pipe at the rate of 12 c m^3//s . The falling s...

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  15. An inverted cone has a depth of 10cm and a base of radius 5cm. Water i...

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  16. Water is dripping out from a conical funnel at a uniform rate of 4c m^...

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  17. A solid sphere of radius 2.45m is rotating with an angular speed of 10...

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  18. A solid sphere of radius 2.45m is rotating with an angular speed of 10...

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  19. Water is running into a conical vessel, 15cm deep and 5cm in radius, a...

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  20. A water tank has the shape of an inverted right circular cone with ...

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