Finn ∇f\nabla f∇f og retningen for raskest vekst for f(x,y)=x2−y2f(x,y) = x^2 - y^2f(x,y)=x2−y2 i (3,4)(3,4)(3,4).
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∇f=(2x,−2y)=(6,−8)\nabla f = (2x, -2y) = (6, -8)∇f=(2x,−2y)=(6,−8). Retning: (6,−8)/∣∣(6,−8)∣∣=(3/5,−4/5)(6,-8)/||(6,-8)|| = (3/5, -4/5)(6,−8)/∣∣(6,−8)∣∣=(3/5,−4/5). Vekstrate: ∣∣∇f∣∣=36+64=10||\nabla f|| = \sqrt{36+64} = 10∣∣∇f∣∣=36+64=10.
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