Найдите производные функции: A) $$f(x)= 4^{2x-1}$$ Б) $$f(x) = cos(4x+5)$$ В) $$f(x) = \sqrt{2x^2-1}$$ Г) $$f(x) = e^{x^2 +2x}$$

A) $$f(x)= 4^{2x-1}$$ $$f'(x) = 4^{2x-1} * ln(4) * 2 = 2 * ln(4) * 4^{2x-1}$$ Б) $$f(x) = cos(4x+5)$$ $$f'(x) = -sin(4x+5) * 4 = -4sin(4x+5)$$ В) $$f(x) = \sqrt{2x^2-1}$$ $$f'(x) = \frac{1}{2\sqrt{2x^2-1}} * (4x) = \frac{2x}{\sqrt{2x^2-1}}$$ Г) $$f(x) = e^{x^2 +2x}$$ $$f'(x) = e^{x^2 +2x} * (2x+2) = (2x+2)e^{x^2 +2x}$$