Home
Class 12
MATHS
If y=a+ bx^(2), where a, b are constants...

If `y=a+ bx^(2)`, where a, b are constants, then

A

`(d^(2)y)/(dx^(2))=2`

B

`x(d^(2)y)/(dx^(2)) = (dy)/(dx)`

C

`x(d^(2)y)/(dx^(2)) - (dy)/(dx) +y=0`

D

`x(d^(2)y)/(dx^(2))= 2xy`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise CRITICAL THINKING|17 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise DERIVATIVE OF COMPOSITE FUNCTIONS|22 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

The equation of motion of a projectile is y = ax - bx^(2) , where a and b are constants of motion. Match the quantities in Column I with the relations in Column II.

The trajectory of a projectile in a vertical plane is y=ax-bx^(2) , where a and b are constants and x and y are respectively horizontal and vertical distances of the projectile from the point of projection. The maximum height attained by the particle and the angle of projection form the horizontal are:

If 2y=3x-1 is a tangent drawn to the curve y^(2)=ax^(3)+b at (1,1) where a, b are constants then (a,b)=

A particle moves in the xy plane with a constant acceleration 'g' in the negative-direction. Its equqaiton of motion is y = ax-bx^(2) , where a and b are constants. Which of the following are correct?

A particle moves in the x-y plane with constant acceleration alpha directed along the negative direction of the y-axis.the equation of the trajectory of the particle is y=ax- bx^2 , where a and b are constants. Find the velocity of the particle when it passes through the origin.

The trajectory of a projectile in a vertical plane is y = ax - bx^2 , where a and b are constant and x and y are, respectively, horizontal and vertical distances of the projectile from the point of projection. The maximum height attained by the particle and the angle of projectile from the horizontal are.

If y^(2) = ax^(2) + bx + c , where a,b,c, are constants , then y^(3) (d^(2) y)/(dx^(2)) is equal to

The relation between time t and distance x is t = ax^(2)+ bx where a and b are constants. The acceleration is

If f(x)=|(1+a,1+ax,1+ax^2), (1+b, 1+bx, 1+bx^2), (1+c, 1+cx, 1+cx^2)|, where a, b, c are non-zero constants, then value of f(10) is

TARGET PUBLICATION-DIFFERENTIATION -EVALUATION TEST
  1. If y=a+ bx^(2), where a, b are constants, then

    Text Solution

    |

  2. If f(x) = (x - 1)/(4) + ((x - 1)^(2))/(12) + ((x -1)^(5))/(20) + ((x -...

    Text Solution

    |

  3. If f(x)=(cosx+isinx)(cos3x+isin3x)...(cos(2n-1)x+isin(2n-1)x) then f"(...

    Text Solution

    |

  4. If y=f((3x+pi)/(5x+4)) and f'(x)=tan^2 x, then (dy)/(dx) at x=0 is

    Text Solution

    |

  5. If y=|cosx|+|sinx|, then (dy)/(dx)" at "x=(2pi)/(3) is

    Text Solution

    |

  6. If y = (1 + (2)/(x)) (1 + (2)/(x))(1 + (3)/(x))...(1 + (n)/(x)) x ...

    Text Solution

    |

  7. If f(x)=x/(1+|x|) for x in R, then f'(0) =

    Text Solution

    |

  8. If y=f((2x+3)/(3-2x)) and f(x)=sin(logx), then (dy)/(dx)=

    Text Solution

    |

  9. d/(dx)[atan^(-1)x+blog((x-1)/(x+1))]=1/(x^4-1)=>a-2b=

    Text Solution

    |

  10. If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

    Text Solution

    |

  11. If d/(dx)((1+x^4+x^8)/(1+x^2+x^4))=ax^3+bx,then

    Text Solution

    |

  12. If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y)/dx^2+xdy/dx=ky , then find t...

    Text Solution

    |

  13. if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...

    Text Solution

    |

  14. If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],...

    Text Solution

    |

  15. If y= cos ax and yn is n^(th) derivative of y, then |{:(y,y1,y2),(y3...

    Text Solution

    |

  16. If y = sin[cos^(-1){sin(cos^(-1) x)}], "then" (dy)/(dx)" at x" = (1)/...

    Text Solution

    |

  17. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  18. If the function f defined on R-{0} os a dIfferentiable function and f(...

    Text Solution

    |

  19. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

    Text Solution

    |

  20. If y=f(x^3),z=g(x^5),f'(x)=tanx and g'(x)=sec x, then (dy)/(dz)=

    Text Solution

    |

  21. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y...

    Text Solution

    |