Apakah dy / dx 2xsqrtx?

Apakah dy / dx 2xsqrtx?
Anonim

Jawapan:

# dy / dx = 3sqrtx #

Penjelasan:

# 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 #