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[Analysis] Small fixes
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@@ -42,6 +42,7 @@ we can compute the partial derivative using the chain rule as follows:
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$\frac{\partial g}{\partial \phi} = \frac{\partial g}{\partial x} \cdot \frac{\partial x}{\partial \phi}
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+ \frac{\partial g}{\partial y} \cdot \frac{\partial y}{\partial \phi} + \frac{\partial g}{\partial z} \cdot \frac{\partial z}{\partial \phi}$
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where all $\frac{\partial g}{\partial x}$, etc are known from the gradient and the other elements can be computed quickly from the known equations.
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The chain rule for higher or lower dimensional functions is as one would expect from the above formula.
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Finally, evaluate $\frac{\partial g}{\partial \phi}$ at the required points and compute the result.
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