Home
Class 12
MATHS
(d^(2)x)/(dy^(2))=...

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

A

`((d^(2)y)/(dx^(2)))^(-1)`

B

`-((d^(2)y)/(dx^(2)))^(-1)((dy)/(dx))^(-3)`

C

`((d^(2)y)/(dx^(2)))((dy)/(dx))^(-2)`

D

`-((d^(2)y)/(dx^(2)))((dy)/(dx))^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -I|6 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

Similar Questions

Explore conceptually related problems

If y=sin^(-1)x ,then prove that (1-x^(2))(d^(2)y)/(dx^(2))=x(dy/dx)

If y=x log((x)/(a+bx)) then x^(2)(d^(2)y)/(dx^(2))=(x((dy)/(dx))-y)^(m) where

Knowledge Check

  • If y=x+e ^(x), then ((d^(2)y)/(dy ^(2)))_(x = ln 2) is :

    A
    `-1/9`
    B
    `-2/27`
    C
    `2/27`
    D
    `1/9`

  • If x=at^2,y=2at , then (d^2x)/(dy^2)=

    A
    `1/(2a)`
    B
    `-2at^3`
    C
    `(-1)/(2at^3)`
    D
    `(-1)/t^2`

  • If x=costheta,y=sin50," then "(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=

    A
    `-5y`
    B
    5y
    C
    25y
    D
    `-25y`

    • Similar Questions

    Explore conceptually related problems

    If y=x log{(x)/((a+bx))], then show that x^(3)(d^(2)y)/(dx^(2))=(x(dy)/(dx)-y)^(2)

    (a+bx)e^((y)/(x))=x, Prove that x^(3)(d^(2)y)/(dx^(2))=(x(dy)/(dx)-y)^(2)

    Statement-1 Let f:[0,oo)vec[0,oo) be a function defined by y=f(x)=x^2, then ((d^2y)/(dx^2))((d^2x)/(dy^2))=1 Statement-2 (d^2y)/(dx^2)=-(d^2x)/(dy^2)dot((dy)/(dx))^3 Statement-1 is True, Statement-2 is True and Statement-2 is correct explanation for Statement-1 Statement-1 is True, Statement-2 is True and Statement-2 is not correct explanation for Statement-1 Statement-1 is True, Statement-2 is false Statement-2 is False, Statement-2 is true Both Statements are false

    If y= e ^(mcos ^(-1)x) ,then (1-x^(2) ) (d^(2)y)/(dx^(2)) -x(dy)/(dx)=

    If y=cos (log x) ,then " "x^(2) (d^(2)y)/(dx^(2))+x(dy)/(dx)=

    Home
    Profile