query: Understanding what a differential is (Why can physicists multiply both sides by dx?)
positive_passages.docid: 31845
positive_passages.text: When not to treat dy/dx as a fraction in single-variable calculus?
negative_passages.docid: 83301
negative_passages.text: Intuition behind directional derivative (geometrically)?
negative_passages.docid: 31273
negative_passages.text: What does $dx$ mean?
negative_passages.docid: 151864
negative_passages.text: Derivative of the Absolute Value Function in Mathematica looks very different from the actual answer
negative_passages.docid: 129394
negative_passages.text: understanding $\frac{\partial x}{\partial y}\frac{\partial y}{\partial z}\frac{\partial z}{\partial x}=-1$
negative_passages.docid: 101394
negative_passages.text: Please explain the logic behind $d(xy) = y(dx) + x(dy)$
negative_passages.docid: 8408
negative_passages.text: What is $dx$ in integration?
negative_passages.docid: 17452
negative_passages.text: Is differentiating on both sides of an equation allowed?
negative_passages.docid: 65039
negative_passages.text: What is the reason of $dT/dh = 0$ in the gas column?
negative_passages.docid: 71496
negative_passages.text: Explanation behind Second Derivative of a Parametric Equation Formula
negative_passages.docid: 115295
negative_passages.text: Why are the two dot product definitions equal?
negative_passages.docid: 43430
negative_passages.text: What exactly does $\frac{dx}{dy}$ mean?
negative_passages.docid: 127964
negative_passages.text: Confused about the possibility of different differentiable structures.
negative_passages.docid: 133424
negative_passages.text: Why do we make a distinction between derivatives and partial derivatives?
negative_passages.docid: 153794
negative_passages.text: What is the meaning of $1/(D+a)$, where $D$ is the derivative operator?
negative_passages.docid: 102059
negative_passages.text: Understanding integrals double meaning
negative_passages.docid: 157748
negative_passages.text: Why should the equality of mixed partials be "intuitively obvious"?