If x=f(t) and y=phi(t), prove that (d^2y...

If `x=f(t) and y=phi(t),` prove that `(d^2y)/(dx^2)=(f_1phi_2-f_2phi_1)/(f_1^3)` where suffixes denote differentiation `w.r.t.t.`

Promotional Banner

Promotional Banner

Similar Questions

Explore conceptually related problems

If x=a(t+1/t) and y=a(t-1/t) , prove that (dy)/(dx)=x/y

x= f(t), y= phi (t) then (d^(2)y)/(dx^(2)) = ……..

Differentiate the following w.r.t.x

If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

Differentiate the following w.r.t.x. x^(x^2)

Solve (dy)/(dx)=(yphi'(x)-y^(2))/(phi(x)),"where" " "phi(x) is a given function.

If x=a (cos t+ t sin t) and y= a (sin t - t cos t) , find (d^(2)y)/(dx^(2)) .

Recommended Questions

If x=f(t) and y=phi(t), prove that (d^2y)/(dx^2)=(f1phi2-f2phi1)/(f1^3...
Text Solution
|
if x=phi(t) and int f(x)dx=F(x) then int f(phi(t))phi'(t)dt=(A)phi(x)(...
Text Solution
|
If x=f(t) and y=phi(t), prove that (d^(2)y)/(dx^(2))=(f(1)phi(2)-f(2)p...
Text Solution
|
If x^(3)+y^(3)=t-(1)/(t) and x^(6)+y^(6)=t^(2)+(1)/(t^(2)) then prove ...
Text Solution
|
Let f(t)="ln"(t). Then, (d)/(dx)(int(x^(2))^(x^(3))f(t)" dt")
Text Solution
|
IF x=f(t) and y=g(t) , prove that , (d^2y)/(dx^2)=(f1g2-g1f2)/(f1^(3))...
Text Solution
|
IF x=t^2+2t,y=t^3-3t, where t is a parameter then show that, (d^2y)/(d...
Text Solution
|
Given, x=f(t),y=g(t) where t is a parameter. Statement-I (d^2y)/(dx^...
Text Solution
|
x= f(t), y= phi (t) then (d^(2)y)/(dx^(2))= ……..
Text Solution
|