Question

Производная e^x/2* корень x

Answer 1

$\y=frac{e^x}{2sqrt{x}}\ y'=frac{e^x2sqrt{x}-e^xfrac{1}{sqrt{x}}}{4x}\ y'=frac{e^x(2sqrt{x}-frac{1}{sqrt{x}})}{4x}$

Answer 2

$(e^{frac{x}{2}}sqrt{x})'=(e^{frac{x}{2}})'sqrt{x}+(e^{frac{x}{2}})*(sqrt{x})'=e^{frac{x}{2}}*frac{1}{2}sqrt{x}+e^{frac{x}{2}}*frac{1}{2sqrt{x}}=frac{e^{frac{x}{2}}(x+1)}{2sqrt{x}}$