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 MESCELLANEOUS EXERCISE|3 Videos
  • DIFFERENTIATION

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