Counterexample to viewing derivative as a quotient of differentials
71726
When can we not treat differentials as fractions? And when is it perfectly OK?
38192
Derivative of inverse function at a point.
1002
Where is the flaw in this "proof" that 1=2? (Derivative of repeated addition)
13150
If the derivative of $f$ is never zero, then $f$ is one-to-one
105767
derivative under integral intuition
53767
How to prove that derivatives have the Intermediate Value Property
131769
How to derive this second derivative using the quotient rule?
125774
Derivative of $a^x$ from first principles
85085
Simplifying the derivative of $|x|$
23319
How to disprove this fallacy that derivatives of $x^2$ and $x+x+x+\dots\quad(x\text{ times})$ are not same.
39995
Showing that partial derivatives of $f(x) = \frac{xy}{x^2+y^2}$ exist for $(x,y) \neq (0,0)$
125026
When does order of partial derivatives matter?
71415
Are derivatives of geometric progressions all irreducible?
112898
Derivative of sin(x)/x at $0$ by definition of derivative
150833
Discontinuities of the derivative of a differentiable function on closed interval
33278
$\delta$ differential notation
79822
Problems with partial derivatives.