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Kapittel 5 · Funksjoner og derivasjongradient · directional derivative

Gradient and Level Curves: Perpendicular by Design

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On a contour plot, the gradient ∇f at every point is perpendicular to the level curve through that point. The gradient direction is steepest ascent; its length is the rate of steepest ascent. The directional derivative along the level-curve tangent is zero.

gradientlevel curvecontour plotdirectional derivativesteepest ascent
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