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Multivariable calculus

Course: Multivariable calculus > Unit 2

Lesson 2: Gradient and directional derivatives
Math
Multivariable calculus
Derivatives of multivariable functions
Gradient and directional derivatives
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Finding directional derivatives

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Problem

Let f, left parenthesis, x, comma, y, right parenthesis, equals, x, plus, 3, y, plus, 2. Suppose a, with, vector, on top, equals, left parenthesis, 0, comma, 0, right parenthesis and v, with, vector, on top, equals, left parenthesis, 2, comma, 3, right parenthesis.
Find the directional derivative of f, left parenthesis, x, comma, y, right parenthesis at a, with, vector, on top in the direction of v, with, vector, on top.
Do not normalize the direction vector for your calculation.
start fraction, \partial, f, divided by, \partial, v, end fraction, equals
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