We know that if (x, y) is a function of two variables and if u = ai

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We know that if ƒ(x, y) is a function of two variables and if u = ai + bj is a unit vector, then Dƒ(x, y) = ƒx(x, y)a + ƒy(x, y)b is the rate of change of ƒ(x, y) at (x, y) in the direction of u. Give a similar formula for the rate of change of the rate of change of ƒ(x, y) at (x, y) in the direction u.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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