query: Why do we treat differential notation as a fraction in u-substitution method
positive_passages.docid: 3360
positive_passages.text: Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio?
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: 69854
negative_passages.text: Why is there a minus sign in this wave equation derivation?
negative_passages.docid: 36990
negative_passages.text: Notation of the second derivative - Where does the d go?
negative_passages.docid: 134122
negative_passages.text: When is differentiating an equation valid?
negative_passages.docid: 118161
negative_passages.text: Proof of dividing fractional expressions
negative_passages.docid: 152195
negative_passages.text: Could this be proper notation for an antiderivative? Does this notation even exist?
negative_passages.docid: 148132
negative_passages.text: \times vs. \cdot vs. parentheses vs. nothing while writing fraction multiplications
negative_passages.docid: 84199
negative_passages.text: What does the $\|$ operation mean in cryptographic notation?
negative_passages.docid: 12010
negative_passages.text: Integration by partial fractions; how and why does it work?
negative_passages.docid: 95637
negative_passages.text: Justifying Calculations on $f(n)=\frac{1}{2 \pi}\int_{-\pi}^{\pi}\theta e^{-in \theta} d \theta$
negative_passages.docid: 53610
negative_passages.text: What is the difference between $Q=\Delta U+W$ and $\Delta U=Q+W$?
negative_passages.docid: 17267
negative_passages.text: Interchanging the order of differentiation and summation
negative_passages.docid: 83610
negative_passages.text: Why does substitution work in antiderivatives?
negative_passages.docid: 71726
negative_passages.text: When can we not treat differentials as fractions? And when is it perfectly OK?
negative_passages.docid: 33691
negative_passages.text: Confusion about a particular differential form being exact?
negative_passages.docid: 21813
negative_passages.text: Symbolic derivatives are being calculated numerically