Home
Class 12
MATHS
Let y=(sin^-1x)^2+(cos^-1x)^2, show that...

Let `y=(sin^-1x)^2+(cos^-1x)^2`, show that,
`(1-x^2)(d^2y)/(dx^2)-xdy/dx=4`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let y = (sin^(-1)x)^2+(cos^(-1)x)^2 show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=4

If y=sin^-1x ,then show that (1-x^2)(d^2y)/dx^2-xdy/dx=0

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

If y=sin(2sin^-1x) show that (1-x^2)(d^2y)/(dx^2)= xdy/dx-4y

If logy=sin^-1x , show that, (1-x^2)(d^2y)/(dx^2)=xdy/dx+y .

If y=sin^(-1)x , show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0 .

y= sin ^(-1)x show that (1-x^2) (d^2 y)/(dx^2) -x (dy)/(dx) =0

If y=sin^(-1)x , show that (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx=0 .

If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx) is equal to 4 (b) 3 (c) 1 (d) 0

If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx) is equal to 4 (b) 3 (c) 1 (d) 0