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

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 ___

Text Solution

Verified by Experts

decreasing at rate of `72` units/sec.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Fill in the blanks 15A|1 Videos

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Fill in the blanks 15B|1 Videos

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Fill in the blanks 14A|1 Videos

  • QUESTION PAPER 2023

    XII BOARDS PREVIOUS YEAR|Exercise Question|45 Videos

  • XII Boards

    XII BOARDS PREVIOUS YEAR|Exercise All Questions|263 Videos

Similar Questions

Explore conceptually related problems

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?

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?

Knowledge Check

  • A point P moves along the curve y=x^(3) . If its abscissa is increasing at the rate of 2 units/ sec, then the rate at which the slop of the tangent at P is increasing when P is at (1,1) , is

    A
    3 units/ sec
    B
    12 units/sec
    C
    24 units/sec
    D
    8 units/sec

  • An object moves along the curve y=f(x) . At a certain point, the slope of the curve is 0.5 and the abscissa is decreasing at the rate of 3 "units" //sec . At the point, the ordinate is

    A
    constant
    B
    increasing at the rate of `1.5 "units" //sec`.
    C
    decreasing at the rate of `1.5 "units" //sec`
    D
    fluctuating

    • Similar Questions

    Explore conceptually related problems

    A point P moves along the curve y=x^(3) . If its abscissa is increasing at the rate of 2 units/ sec, then the rate at which the slop of the tangent at P is increasing when P is at (1,1) , is

    If y=x^(3) and x increases at the rate of 3 units per sec; then the rate at which the slope increases when x=3 is.

    Find the slopes of the tangent and the normal to the curve y=2x^2+3sinx at x=0

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

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

    For curve y=(x^(2))/(2)-2x+5, the rate of change of y is twice the rate of change of x , then value of x is

    Home
    Profile