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calculus - dx(t) dx vs. dx dx - Mathematics Stack Exchange $\begingroup$ @KristofferCatabui, I had sort of assumed that you had mis-used the notation for partial derivatives (the question was un-clear, and people frequently mis-use that)
What does $dx$ mean? - Mathematics Stack Exchange In the setting of measure theory, "dx" is interpreted as a measure; in the context of differential geometry, it is interpreted as a 1-form But, for the purposes of elementary calculus, the only role of the "dx" is to tell which variable is the variable of integration
What does the dx mean in an integral? [duplicate] I know dy dx for example means "derivative of y with respect to x," but there's another context that confuses me You will generally just see a dx term sitting at the end of an integral equation and I just don't know exactly what it means or why it's there For instance, if I put into Wolfram Alpha "integral of 2x", it writes out: That dx in
What is $dx$ in integration? - Mathematics Stack Exchange Historically, calculus was framed in terms of infinitesimally small numbers The Leibniz notation dy dx was originally intended to mean, literally, the division of two infinitesimals The Leibniz notation $\int f dx$ was meant to indicate a sum of infinitely many rectangles, each with infinitesimal width dx
calculus - Why are derivatives specified as $\frac{d}{dx . . . Is the purpose of the derivative notation $\frac{d}{dx}$? strictly for symbolic manipulation purposes? I remember being confused when I first saw the notation for derivatives - it looks vaguely like there's some division going on and there are some fancy 'd' characters that are added in
derivatives - Proof of dy=f’(x)dx - Mathematics Stack Exchange Well the derivative is given by: $$\lim_{dx \to 0} \frac{f(x+dx)-f(x)}{dx}=\lim_{dx\to 0} \frac{dy}{dx}$$ By definition the derivative is the rate of change of y with regard to x That's why RHS stands As you realise $\frac{dy}{dx}$ is not just a notation but it's mathematically how derivative is been defined