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3.3: Правило ланцюга
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Для функції $f(x, y)$ та $\gamma (t) = (x(t), y(t))$ кривої правило ланцюга дає \[\dfrac{df(\gamma (t))}{dt} = \left. \dfrac{\partial f}{\partial x} \right\vert_{\gamma (t)} x'(t) + \left. \dfrac{\p...Для функції $f(x, y)$ та $\gamma (t) = (x(t), y(t))$ кривої правило ланцюга дає $\dfrac{df(\gamma (t))}{dt} = \left. \dfrac{\partial f}{\partial x} \right\vert_{\gamma (t)} x'(t) + \left. \dfrac{\partial f}{\partial y} \right \vert_{\gamma (t)} y'(t) = \nabla f(\gamma (t)) \cdot y'(t) \text{ dot product of vectors.}$ $\nabla f$ Ось градієнт, $f$ визначений у наступному розділі.