If x^2+6x y+y^2=10, Show that (d^2y)/(dx...

If `x^2+6x y+y^2=10,` Show that `(d^2y)/(dx^2)=80/((3x+y)^3).`

A

` (-40)/( (3x+y)^(3))`

B

` (40)/( (3x+y)^(3))`

C

` (-80)/( (3x+y)^(3))`

D

` (80)/( (3x+y)^(3))`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

Differential Equation
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos
INTEGRATION
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+6xy+y^(2)=10, show that (d^(2)y)/(dx^(2))=(80)/((3x+y)^(3))

If y=2sin x+3cos x, show that (d^(2)y)/(dx^(2))+y=0

If x+y=e^(x-y) then show that (d^(2)y)/(dx^(2))=(4(x+y))/((1+x+y)^(3))

If y=sin^(-1)x, show that (d^(2)y)/(dx^(2))=(1)/((1-x^(2))^(3/2))

If e^(y)(x+1)=1, show that (d^(2)y)/(dx^(2))=((dy)/(dx))^(2) If y=sin(2sin^(-1)x), show that ((1-x^(2))d^(2y))/(dx^(2))=x(dy)/(dx)-4y

If y=sin^(-1)x,quad show that (d^(2)y)/(dx^(2))=(x)/((1-x^(2))^((3)/(2)))

If y = sin3x then (d^2y)/(dx^2) =?

If y=x^(2)cos x, show that x^(2)(d^(2)y)/(dx^(2))-4x(dy)/(dx)+(x^(2)+6)y=0

If y=log x/x show that,[(d^(2)y)/(dx^(2))]_(x=1)=-3

NIKITA PUBLICATION-DIFFERENTIATION -MCQ

Derivative of tan ^(-1) ((sqrt( 1+x^(2))-1)/( x)) w.r.cos ^(-1) sqrt(...
Text Solution
|
Find the differential coefficient of : (tan^(-1)x)/(1+tan^(-1)x)" ...
Text Solution
|
If x^2+6x y+y^2=10, Show that (d^2y)/(dx^2)=80/((3x+y)^3).
Text Solution
|
If y= x ^(3) +5x^(2) -3x +10 ,then (d^(2)y)/(dx^(2))=
Text Solution
|
If ax^(2)+2hxy+by^(2)=0,"show that "(d^(2)y)/(dx^(2))=0
Text Solution
|
If a x^2+2h x y+b y^2=1,t h e n(d^(2y))/(dx^2) is (h^2-a b)/((h x+b y)...
Text Solution
|
If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.
Text Solution
|
If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y ...
Text Solution
|
If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a fun...
Text Solution
|
if (x-a)^2+(y-b)^2=c^2 then {1+((dy)/(dx))^2}/{(d^2y)/(dx^2)} =?
Text Solution
|
If f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3) + ...+...
Text Solution
|
If y=5" cos"x-3" sin"x, prove that (d^(2)y)/(dx^(2))+y=0.
Text Solution
|
If y=sec x -tan x ,then (d^(2)y)/(dx^(2)) =
Text Solution
|
If y=cos ^(2) ((3x) /( 2))-sin ^(2) ((3x)/( 2) ),then (d^(2)y)/( dx^(...
Text Solution
|
If y= sin x sqrt ( cos x ) ,then (d^(2)y)/(dx^(2)) =
Text Solution
|
If y=cos (log x) ,then (d^(2)y)/(dx^(2))=
Text Solution
|
The number of values of b , for which in an acute triangle A B C , the...
Text Solution
|
If y=a^(x) b^(2x-1) ,then (d^(2)y)/(dx^(2))=
Text Solution
|
If y=cos^(-1)x , find (d^2y)/(dx^2) in terms of y alone.
Text Solution
|
if y=tan^(- 1)x ,find (d^2y)/(dx^2).
Text Solution
|