F (x) = 2 arcsin x + arccos x ; вычислите f' (√2 / 2)

f'(√2 / 2) = 2 * (1 / √(1 - (√2 / 2)^2)) + (-1 / √(1 - (√2 / 2)^2)) = 2 * (1 / √(1 - 1/2)) + (-1 / √(1 - 1/2)) = 2 * (1 / √(1/2)) + (-1 / √(1/2)) = 2 * (1 / (1 / √2)) + (-1 / (1 / √2)) = 2 * √2 + (-√2) = √2.