Question

y=x的平方乘以2加根号x的和,求导数

Answer 1

y=x^2(2+√x)

y'=(x^2)'*(2+√x)+x^2*(2+x^1/2)'

=2x(2+√x)+x^2*(1/2)*x^(-1/2)

=2x(2+√x)+x^2/(2√x)

=4x+2x√x+x√x/2

=4x+5x√x/2