2xsqrtx의 dy / dx 란 무엇입니까?

2xsqrtx의 dy / dx 란 무엇입니까?
Anonim

대답:

# dy / dx = 3sqrtx #

설명:

# y = 2xsqrtx = uv #

# dy / dx = u (dv) / dx + v (du) / dx #

# u = 2x #

# (du) / dx) = 2 #

# v = sqrtx = x ^ (1/2) #

(1 / 2-1) = x ^ (- 1/2) / 2 # (dv) / (dx) = 1 / 2 *

(1/2) = sqrtx + 2sqrtx = 3sqrtx # 2 / dx = 2x *