If y = sin^-1((1 - x^2)/(1 + x^2)) + cos^-1((1 - x^2)/(1 + x^2)), find dy/dx.

Question

If y = sin^-1\(\Big(\cfrac{1-\text x^2}{1+\text x^2}\Big)\) + cos^-1\(\Big(\cfrac{1-\text x^2}{1+\text x^2}\Big),\) find \(\cfrac{dy}{d\mathrm x} \).

Answer 1

Hence, \(\cfrac{dy}{d\mathrm x} \) = 0, for all x ∈ R.