y=(3x^2-x√x+5√x-9)/√x 求导
问题描述:
y=(3x^2-x√x+5√x-9)/√x 求导
答
根号x就是x^0.5 原式=(3x∧2/√x-x√x/√x+5√x/√x-9/√x) 导数=(3x^1.5-x=+5-9x^(-0.5))' =4.5x^.5-1+0-9(-0.5)
答
y=(3x^2-x√x+5√x-9)/√x
=3x^(3/2)-x+5-9x^(-1/2)
y'=9/2x^(1/2)-1+9/2x^(-3/2)
=9/2x^(1/2)+9/2x^(-3/2) -1