If y=x^(2)+2x+3," then "(d^(2)x)/(dy^(2)...

If `y=x^(2)+2x+3," then "(d^(2)x)/(dy^(2))`

A

`1/(2(x+1)^(3))`

B

`-1/(4(x+1)^(3))`

C

`1/2`

D

`1/(8(x+1)^(4))`

Verified by Experts

The correct Answer is:

B

DIFFERENTIATION
TARGET PUBLICATION|Exercise COMPETITIVE THINKING|138 Videos
DIFFERENTIATION
TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos
DIFFERENTIATION
TARGET PUBLICATION|Exercise DERIVATIVE OF PARAMETRIC FUNCTIONS|18 Videos
DIFFERENTIAL EQUATIONS
TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
INTEGRATION
TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+y^(2)=1," then "(d^(2)x)/(dy^(2))

If y=sinx+e^(x)," then "(d^(2)x)/(dy^(2)) equals

If x^(2) +y^(2) = a then (d^(2)x)/(dy^(2)) = ___________

"If "y= sin x +e^(x)," then "(d^(2)x)/(dy^(2))=

If y=x+e^(x), then (d^(2)x)/(dy^(2)) is equal to

If y=3x-(1)/(2)cosx," then: "(d^(2)x)/(dy^(2))=

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

If y=f(x) then (d^(2)x)/(dy^(2)) is

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

If y=x^(x) ,then xy (d^(2)y)/(dx^(2))-x((dy)/(dx) )^(2)=

let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is
Text Solution
|
If x=log t, t gt 0 and y=1/t, then (d^(2)y)/(dx^(2)), is
Text Solution
|
If y = 1 - x +(x^(2))/(2!) - (x^(3))/(3!) + (x^(4))/(4!) - ..., " the...
Text Solution
|
Let f be a function defined for every x, such that f''=-f, f(0)=0,f'(0...
Text Solution
|
If e^y\ (x+1)=1 , then (d^(2)y)/(dx^(2))= .
Text Solution
|
If y=ax^(5)+(b)/(x^(4))," then "(d^(2)y)/(dx^(2))=
Text Solution
|
If y=a x^(n+1)+b x^(-n),t h e n x^2(d^2y)/(dx^2) is equal to
Text Solution
|
If y=a cos ( log x )+ bsin (log x) where a ,b are parameters ,then ...
Text Solution
|
If y=a^(x) b^(2x-1) ,then (d^(2)y)/(dx^(2))=
Text Solution
|
If y=log(x+sqrt(x^(2) +a^(2))), then (d^(2)y)/(dx^(2)), is equal to
Text Solution
|
If y=x^(2)+2x+3," then "(d^(2)x)/(dy^(2))
Text Solution
|
If y=x+e^x , then (d^2x)/(dy^2) is equal to
Text Solution
|
"If "y= sin x +e^(x)," then "(d^(2)x)/(dy^(2))=
Text Solution
|
If y=e^(2x), then (d^(2)y)/(dx^(2)).(d^(2)x)/(dy^(2)) is equal to
Text Solution
|
(d^(2))/(dx^(2)(2 cos x cos 3x) is equal to
Text Solution
|
(d^(2)x)/(dy^(2))=
Text Solution
|
If x^(2)/a^(2) + y^(2)/b^(2)=1, then (d^(2)y)/(dx^(2)) is
Text Solution
|
If x=f(t) and y=g(t), then (d^2y)/(dx^2) is equal to
Text Solution
|
If y=(cos x - sin x)/(cos x + sinx), then ((d^(2)y)/(dx^(2)))/((dy)/(d...
Text Solution
|
If y=cos(log x), then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y is equal to
Text Solution
|