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Kapittel 5 · Funksjoner og derivasjonlinearisation

Linearisation: The Tangent Plane Snaps On

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Linear approximation of a surface near a point. Lead with the one-variable picture — a curve and its tangent line — then zoom in to feel that the error vanishes faster than the step. Generalises to L(x, y) = f(a, b) + f_x(a, b)(x − a) + f_y(a, b)(y − b), the equation of the tangent plane.

linearisationtangent planedifferentiabilitypartial derivativelocal approximation
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