设f(x,y)=x+y-√x2+y2,求fx(3,4).

设f(x,y)=x+y-√x2+y2,求fx(3,4).
【正确答案】:fx(x,y)=1-1/2√x2+y2(x2+y2)x′=1 -x/√(x2+y2x(3,4)=1-3/(32+42)=1-(3/5)=2/5