Odpovědět:
# dy / dx = 3sqrtx #
Vysvětlení:
# y = 2xsqrtx = uv #
# dy / dx = u (dv) / dx + v (du) / dx #
# u = 2x #
# (du) / dx) = 2 #
# v = sqrtx = x ^ (1/2) #
# (dv) / (dx) = 1/2 * x ^ (1 / 2-1) = x ^ (- 1/2) / 2 #
# dy / dx = 2x * x ^ (- 1/2) / 2 + 2 * x ^ (1/2) = sqrtx + 2sqrtx = 3sqrtx #
