Question

differentiate y=(x)^(1/2)e^(-x).i need the calculation work. [ans: -x^(1/2)e^(-x) + 1/2(x^-1/2)e^(-x)]

Answer 1

Use the product rule.

d/dx (u*v) = u(dv/dx) + v(du/dx)

u = x^(1/2)
du/dx = (1/2)*x(-1/2)
v = e^-x
dv/dx = -e^-x

You do the rest