Home
Class 12
MATHS
If y^2=P(x) is a polynomial of degree 3,...

If `y^2=P(x)` is a polynomial of degree `3,` then `2(d/(dx))(y^2dot(d^2y)/(dx^2))` is equal to `P^(x)+P^(prime)(x)` (b) `P^(x)dotP^(x)` `P(x)dotP^(x)` (d) a constant

A

`p'''(x).p'(x)`

B

`p''(x).p'''(x)`

C

`p(x).p'''(x)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If y^(2)=P(x) is polynomial of degree 3, then 2((d)/(dx))(y^(3)*d^(2)(y)/(dx^(2))) is equal to

If y^(2)=P(x) is a polynomial of degree 3, then 2((d)/(dx))(y^(3)(d^(2)y)/(dx^(2))) is equal to P^(x)+P'(x) (b) P^(x)P^(x)P(x)P^(x)(d) a constant

If y^(2) = p (x) is a polynomial of degree 3 , then what is 2 "" (d)/(dx) [y^(3) (d^(2) y)/(dx^(2))] equal to

If y^(2)=P(x) is a polynomial of degree 3 then find the value of (d)/(dx)(y^(3)((d^(2)y)/(dx^(2))))

If y^(2)=P(x), then 2(d)/(dx)(y^(3)(d^(2)(y)/(dx^(2))))

If P (x) is polynomial of degree 2 and P(3)=0,P'(0)=1,P''(2)=2," then "p(x)=

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. if f(x) = x +x^2/1! + x^3/3! +---+ x^n/n! then f(0) + f'(0) + f''(0) ...

    Text Solution

    |

  2. If y=(f(0)f(0)f)(x)andf(0)=0,f'(0)=2 then y'(0) is equal to

    Text Solution

    |

  3. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

    Text Solution

    |

  4. If y=f(x)andx=g(y) are inverse functions of each other, then

    Text Solution

    |

  5. If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...

    Text Solution

    |

  6. Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive functi...

    Text Solution

    |

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

    Text Solution

    |

  8. If f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta))), where -pi/4 lt ...

    Text Solution

    |

  9. If y=log(sinx)(tanx), then (dy)/ (dx) at x=(1)/(4) is equal to

    Text Solution

    |

  10. If y=sum(r=1)^(x) tan^(-1)((1)/(1+r+r^(2))), then (dy)/(dx) is equal t...

    Text Solution

    |

  11. If y=(sin^(-1)(sinalphasinx)/(1-cosalphasinx)), then y'(0) is equal to

    Text Solution

    |

  12. If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

    Text Solution

    |

  13. The function f(x)=e^x+x , being differentiable and one-to-one, has a d...

    Text Solution

    |

  14. If f^(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 an...

    Text Solution

    |

  15. If x=sectheta-costhetaandy=sec^(n)theta-cos^(n)theta, then (x^(2)+4 )(...

    Text Solution

    |

  16. If x=f(t)cost-f^(prime)(t)sint and y=f(t)sint+f^(prime)(t)cost , then ...

    Text Solution

    |

  17. If y=at^2+2bt-cand t = ax^2+2bx+c, then(d^3y)/(dx^3) equals

    Text Solution

    |

  18. Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-...

    Text Solution

    |

  19. if y=(A+Bx)e^(mx)+(m-1)^-1 e^x then (d^2y)/(dx^2)-2m(dy)/(dx)+m^2y is ...

    Text Solution

    |

  20. If f(x)=-(x^(3))/(3)+x^(2)sina.sin2a-5sin^(-1)(a^(2)-8a+17),then

    Text Solution

    |