Pregunta: \\( \\frac{d y}{d x} \\) if \\( y=\\sin ^{-1}\\left(x+\\cos ^{-1} x\\right) \\)

Differentiate both sides of the equation.

$\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left(\mathrm{y}\right)=\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left(\arcsin (\mathrm{x}+\arccos \left(\mathrm{x}\right))\right)$

The derivative of $\mathrm{y}$ with respect to $\mathrm{x}$ is ${\mathrm{y}}^{\prime }$ .