F(x)=8√x-2/3 x*√x найдите производную

Question

F(x)=8√x-2/3 x*√x
найдите производную

Answer 1

F(x)=(8√x -2/3x*x^(1/2))`= 8/2√x-(2/3x^3/2)`= 4/√x-2/3*3/2x^(3/2-1)=4/√x-x^(1/2)=4/√x-√x=(4-x)/√x