MAT240 Exam #10 Video #1 - Directional Derivatives

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Last updated 8:49 AM on 4/1/26
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6 Terms

1
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Directional derivative formula (including notation)

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2
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Expanded form of the directional derivative formula

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3
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Parametric equations that the directional derivative formula represents

(s = arc length)

<p>(s = arc length)</p>
4
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Line that these parametric equations represent

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5
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What the directional derivative represents

The slope in the z-direction along the tangent plane to the surface at a given point, as you move in the direction of a given unit vector (the slope varies by direction; regular partial derivatives only apply along the coordinate axes)

<p>The slope in the z-direction along the tangent plane to the surface at a given point, as you move in the direction of a given unit vector (the slope varies by direction; regular partial derivatives only apply along the coordinate axes)</p>
6
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<p>What must you do if you see a bar over u instead of a hat?</p>

What must you do if you see a bar over u instead of a hat?

Find the magnitude of the u-bar vector

<p>Find the magnitude of the u-bar vector</p>

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