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