Чему равна производная функции f(x) = x ⋅ arctg2x? \(f'(x) = \frac{2x}{1 + 4x^2} + arctg2x\) \(f'(x) = arctg2x + \frac{x}{1 + 4x^2}\) \(f'(x) = arctg2x + \frac{2x}{1 + x^2}\) \(f'(x) = \frac{x}{1 + x^2}\)

Задание

Чему равна производная функции f\(x\) = x ⋅ arctg2x?

\(f'(x) = \frac{2x}{1 + 4x^2} + arctg2x\)
\(f'(x) = arctg2x + \frac{x}{1 + 4x^2}\)
\(f'(x) = arctg2x + \frac{2x}{1 + x^2}\)
\(f'(x) = \frac{x}{1 + x^2}\)