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@universemaster
Created 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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