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March 8, 2021 15:50
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| $$x^2 + y$$ | |
| We write | |
| $$\begin{aligned} | |
| df &= (dx,dy) ⋅ \left( \frac{∂ f}{∂ x}, \frac{∂f}{∂y} \right) \\ | |
| &= d 𝐬 ⋅ ∇f\,. | |
| \end{aligned}$$ | |
| --- | |
| Consider the gradient vector. | |
| Use $\hat{𝐬}$ to write | |
| $$d 𝐬$$ | |
| and an expression for | |
| $$\left| \hat{𝐬} \right| = ?\,.$$ |
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