In multivariable calculus, I see both partial derivatives $\frac{\partial f}{\partial x}$ and total derivatives $\frac{df}{dx}$. When should I use each?
For a function $f(x, y)$ where $y = y(x)$, the chain rule gives:
Abdessamad
@abdessamad
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Bayes' theorem states:
$$P(A|B) = \frac{P(B|A) \, P(A)}{P(B)}$$
In complex analysis, the terms "analytic" and "holomorphic" are often used interchangeably, but I want to understand the nuances.
A function $f: \mathbb{C} \to \mathbb{C}$ is complex-differentiable at $z_0$ if:
I am just starting algebra and I want to solve this without using a calculator:
$$x + 1 = 3$$