Home
Class 12
MATHS
For the curve y=5x-2x^3 , if x increases...

For the curve `y=5x-2x^3` , if `x` increases at the rate of 2 units/sec, then how fast is the slope of the curve changing when `x=3?`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|562 Videos
  • DETERMINANTS

    RD SHARMA ENGLISH|Exercise All Questions|441 Videos

Similar Questions

Explore conceptually related problems

For the curve y=5x-2x^(3) , if x increases at the rate of 2units/sec, then at x=3 the slope of the curve is changing at ___

If y=7x-x^3 and x increases at the rate of 4 units per second, how fast is the slope of the curve changing when x=2 ?

If y=7x-x^3 and x increases at the rate of 4 units per second, how fast is the slope of the curve changing when x=2 ?

If equation of the curve is y^2=4x then find the slope of normal to the curve

At what points, the slope of the curve y=-x^3+3x^2+9x-27 is maximum.

Find the points on the curve y^2=2x^3 at which the slope of the tangent is 3.

Find the asymptotes of the curve x y-3y-2x=0 .

Find the slope of the tangent and the normal to the curve y=x^3-x at x=2

A particle moves along the curve y=x^(3/2) in the first quadrant in such a way that its distance from the origin increases at the rate of 11 units per second. Then the value of dx/dt when x=3 is given by

A particle moves along the curve y=x^2+2xdot At what point(s) on the curve are the x and y coordinates of the particle changing at the same rate?

RD SHARMA ENGLISH-DERIVATIVES AS A RATE MEASURER -All Questions
  1. The volume of a cube is increasing at a constant rate. Prove that the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. find dy/dx if y = x tanx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. ...

    Text Solution

    |

  20. A kite is moving horizontally at a height of 151.5 m. If the speed of ...

    Text Solution

    |