When not to treat dy/dx as a fraction in single-variable calculus?
50223
Can I ever go wrong if I keep thinking of derivatives as ratios?
136692
Why should the spatial derivative order of the ODE *not* exceed two?
112898
Derivative of sin(x)/x at $0$ by definition of derivative
110438
Answer when integrating by partial fractions
9205
When do the Freshman's dream product and quotient rules for differentiation hold?
60897
Non-integer order derivative
123490
L'Hopital's rule and $\frac{\sin x}x$
147264
$ (1 + x)^{1/x} $ when $ x \to \infty$ without L’Hospital’s Rule
154580
Is indefinite integration non-linear?
125026
When does order of partial derivatives matter?
101329
Avoiding numerical cancellation question for $\sin x -\sin y$ for $x \approx y$
87041
How to determine with certainty that a function has no elementary antiderivative?
69010
Is there a way to evaluate the derivative of $x$! without using Gamma function?
148556
Could you explain why $\frac{d}{dx} e^x = e^x$ "intuitively"?
109192
Intuitive reason why $ \frac1j > \int_{j}^{j+1} \frac1x dx $ for $j$ < $x$
85085
Simplifying the derivative of $|x|$
90325
Why use the derivative and not the symmetric derivative?