Home
Class 12
MATHS
If y^(2) = p (x) is a polynomial of degr...

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

A

`P' ' ' (x) +P'(x)`

B

`P' ' ' (x) P' ' ' (x)`

C

`P (x) P' ' ' (x)`

D

a constant

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ML KHANNA|Exercise PROBLEM SET-(3)|24 Videos

  • DIFFERENTIATION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |22 Videos

  • DIFFERENTIATION

    ML KHANNA|Exercise MESCELLANEOUS EXERCISE|3 Videos

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Matching Entries) |2 Videos

  • EXAMINATION PAPER -2013

    ML KHANNA|Exercise PAPER -II SECTION-3 (MATCHING LIST TYPE)|4 Videos

Similar Questions

Explore conceptually related problems

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

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

Write the degree of the differential equation ((dy)/(dx))^(4)=3x(d^(2)y)/(dx^(2))=0

Write degree of the differential equation (1+(dy)/(dx))^(3)=((d^(2)y)/(dx^(2)))^(2)

What is the degree of the differential equation [1 + ((dy)/(dx))^(2)]^(3//2) = k"" (d^(2) y)/(dx^(2)) ?

If m, n are order and degree of differential equation y(dy)/(dx) + x^(3)((d^(2)y)/(dx^(2)))-xy = cos x then

ML KHANNA-DIFFERENTIATION-PROBLEM SET-(2)
  1. The differential coefficient of f ( log x) where f (x) =log ...

    Text Solution

    |

  2. Given the parametic equations x= f (t) , y= g(t) then (d^2 y)...

    Text Solution

    |

  3. If y^(2) = p (x) is a polynomial of degree 3 , then what is 2 "" (d)/(...

    Text Solution

    |

  4. if x=t +(1)/(t) , y=t-(1)/(t) , then (d^2 y)/( dx^2) is equal to

    Text Solution

    |

  5. If y=e^(2x) then (d^2 y)/(dx^2) . (d^2 x)/(dy^2) is equal to

    Text Solution

    |

  6. If y=(1)/(2) x sqrt""(x^2 +a^2 ) +1/2 a^2 log [x+ sqrt(x^2 +a^2 )] , ...

    Text Solution

    |

  7. if Y= log((1 + sqrt""x)/(1-sqrt""x )) then (dy)/(dx) =

    Text Solution

    |

  8. If f(x) = log(x^2) (log x) then f' (x) at x=e is

    Text Solution

    |

  9. If log(x) (log x) , then f' (x) at x=e is

    Text Solution

    |

  10. If Y= log7 (log7 x), then (dy)/(dx) =

    Text Solution

    |

  11. if f(x) = log5 log3 x, then f '(e ) is

    Text Solution

    |

  12. If y= log x^x , then (dy)/(dx)=

    Text Solution

    |

  13. If Y=f ((2x -1)/(x^2 +1)) and f'(x) = sin x^2 , then (dy)/(dx) at ...

    Text Solution

    |

  14. if y= x +e^x , then (d^2 x)/(dy^2) is

    Text Solution

    |

  15. If y= Ke^(x//(x-a)) then (dy)/(dx) is equal to

    Text Solution

    |

  16. If x^p y^q = (x +y) ^(p+q) , then (dy)/(dx) is equal to also s...

    Text Solution

    |

  17. If sin^(-1)"" ((x^2-y^2 )/(x^2 +y^2))=log a then (dy)/(dx) equals

    Text Solution

    |

  18. If y=(1+x^(1//4))(1+x^(1//2))(1-x^(1//4)), then what is (dy)/(dx) equa...

    Text Solution

    |

  19. If y^(1/m)= x + sqrt (1 + x^(2)) "then" (1 + x^(2))y(2)+ xy (1) = ?

    Text Solution

    |

  20. if y= {x+ sqrt""(x^2 + a^2 )} ^n then (dy)/(dx) =

    Text Solution

    |