Newbetuts

Show that it is possible that the limit $\displaystyle{\lim_{x \rightarrow +\infty} f'(x)} $ does not exist.

Treating dy/dx as a symbol for the derivative as opposed to a fraction of the differentials dy and dx

Characterization of $C^{k,\alpha}$ (functions with Hölder continuous derivatives) through Taylor estimates

Pretty conjecture $x^{\left(\frac{y}{x}\right)^n}+y^{\left(\frac{x}{y}\right)^n}\leq 1$

Example of a function in $L^2(\mathbb{R})$ with derivative not in $L^2(\mathbb{R})$.

Prove that there exist $a \in [-1,1]$, such that $f'''(a)=3f(1)-3f(-1)-6f'(0)$

Minimal definition of the derivative

Is this logic behind the derivative of $x^x$ a coincidence?

Question regarding calculus, graph of functions, point of inflection.

Partial derivative of a two variables function, one of which dependent on the other

Why differentiability implies continuity, but continuity does not imply differentiability?

Does $\lim_{x\to0}\frac{xf'(x)}{f(x)}$ exist when $f(0)=0$, $f'(0)=0$?

How to take the derivative of a matrix with respect to itself?

Derivative of exponential function proof

Can I interpret the exponential of the derivative operator, $e^D$, as infinite shift operators each shifting "infinitesimally"?

A question about the vector space spanned by shifts of a given function

New posts in derivatives

Show that it is possible that the limit $\displaystyle{\lim_{x \rightarrow +\infty} f'(x)} $ does not exist.

A determinant involving a polynomial is $0$

When the derivative approaches $-\infty$

Derivative of cot(x)

Prove that $\exists x_0, x_1\in (0,1)$, such that $\frac{f'(x_0)}{x_0}+\frac{f'(x_1)}{x_1^2}=5$

Treating dy/dx as a symbol for the derivative as opposed to a fraction of the differentials dy and dx

Characterization of $C^{k,\alpha}$ (functions with Hölder continuous derivatives) through Taylor estimates

Pretty conjecture $x^{\left(\frac{y}{x}\right)^n}+y^{\left(\frac{x}{y}\right)^n}\leq 1$

Example of a function in $L^2(\mathbb{R})$ with derivative not in $L^2(\mathbb{R})$.

Prove that there exist $a \in [-1,1]$, such that $f'''(a)=3f(1)-3f(-1)-6f'(0)$

Minimal definition of the derivative

Is this logic behind the derivative of $x^x$ a coincidence?

Question regarding calculus, graph of functions, point of inflection.

Partial derivative of a two variables function, one of which dependent on the other

Why differentiability implies continuity, but continuity does not imply differentiability?

Does $\lim_{x\to0}\frac{xf'(x)}{f(x)}$ exist when $f(0)=0$, $f'(0)=0$?

How to take the derivative of a matrix with respect to itself?

Derivative of exponential function proof

Can I interpret the exponential of the derivative operator, $e^D$, as infinite shift operators each shifting "infinitesimally"?

A question about the vector space spanned by shifts of a given function