If $y = \sin^{-1} x$,then $(1 - x^2) y_2 - x y_1 = $

If $y=f(x)$ is a twice differentiable function such that at a point $P$,$\frac{dy}{dx}=4$ and $\frac{d^2y}{dx^2}=-3$,then $\left(\frac{d^2x}{dy^2}\right)_P$ is equal to:

If $y=x+\tan x$, then $\cos ^2 x \frac{d^2 y}{d x^2}+2 x$ is equal to

Eliminating $a$ and $b$ from the relation $y = a \log x + b$,we get $......$

If $f(x) = b e^{ax} + a e^{bx}$,then $f^{\prime \prime}(0)$ is equal to

If the function $y = \sin^{-1} x$,then $\left(1-x^2\right) \frac{d^2 y}{d x^2}$ is equal to