什么是2xsqrtx的dy / dx?

什么是2xsqrtx的dy / dx?
Anonim

回答:

#DY / DX = 3sqrtx#

说明:

#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 = 2×* X ^( - 1/2)/ 2 + 2 *的x ^(1/2)= sqrtx + 2sqrtx = 3sqrtx#