Asked by elis
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)]
Answers
Answered by
drwls
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
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
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