求下列函数的导数或微分y=xarcsinx+根号1-x^2+e^2，求dy

Question

如题所述

Answer 1

dy=arcsinxdx+xdx/根号(1-x^2)+xdx/(根号1-x^2+e^2)

Answer 2

t = arcsinx
sint = x
cost dt/dx = 1
dt/dx = 1/cost

y=xarcsinx+√(1-x^2+e^2)
y' = arcsinx + x/√(1-t^2) -x/√(1-x^2+e^2)