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Kuvat 2

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Määritelmät

Substantiivi

  1. (mathematics) A field of plotted slopes of a differentiable function.

Taivutusmuodot

Monikkoslope fields

(mathematics) A field of plotted slopes of a differentiable function.

The slope field of d y d x = x 2 x 2 {\displaystyle {\frac {dy}{dx}}=x^{2}-x-2} , with the blue, red, and turquoise lines being x 3 3 x 2 2 2 x + 4 {\displaystyle {\frac {x^{3}}{3}}-{\frac {x^{2}}{2}}-2x+4} , x 3 3 x 2 2 2 x {\displaystyle {\frac {x^{3}}{3}}-{\frac {x^{2}}{2}}-2x} , and x 3 3 x 2 2 2 x 4 {\displaystyle {\frac {x^{3}}{3}}-{\frac {x^{2}}{2}}-2x-4} , respectively.

(mathematics) A field of plotted slopes of a differentiable function.

Isoclines (blue), slope field (black), and some solution curves (red)