微积分设f(x,y)=(x²+4y²)/(x+y),(x,y)≠(0,0),求f'y(0,0)

来源：学生作业帮助网编辑：六六作业网时间：2025/01/31 21:51:27

微积分设f(x,y)=(x²+4y²)/(x+y),(x,y)≠(0,0),求f''y(0,0)微积分设f(x,y)=(x²+4y²)/(x+y),(x,y)≠(

微积分设f(x,y)=(x²+4y²)/(x+y),(x,y)≠(0,0),求f'y(0,0)
微积分设f(x,y)=(x²+4y²)/(x+y),(x,y)≠(0,0),求f'y(0,0)

微积分设f(x,y)=(x²+4y²)/(x+y),(x,y)≠(0,0),求f'y(0,0)
f'y(0,0)=lim{Δy->0} [f(0,0+Δy)-f(0,0)] / Δy
=lim{Δy->0} (4Δy-0)/Δy
=4

微积分 设f(x,y)=(x²+4y²)/(x+y),(x,y)≠(0,0),求f'y(0,0)