Question: Show that if z = f (x, y) is differentiable at x 0 = (x 0 , y 0 ), then f(x) f(xo) Vf(xo) (x

Show that if z = f (x, y) is differentiable at x0 = (x0, y0), thenf(x) – f(xo) – Vf(xo)· (x – xo) х — Хо lim х—Хо |x - xo|

f(x) f(xo) Vf(xo) (x xo) lim |x - xo|

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Since z fx y is differentiable at x xo yo by Definition 1447 we have Az f xo Yo Axfy xo Yo A... View full answer

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