New posts in Derivatives

Why doesn't $f'(x) \to 0$ at $x \to \infty$ imply that $\lim_{x \to \infty}{f(x)}$ exists?

Is there an elegant way to take a derivative of this linear algebra problem?

Why do engineers use derivatives in discontinuous functions? Is it correct?

If $f'(x)=1+f(x)$ and $f(0)=0$ prove that $f(x) = e^x -1$

Does the derivative of a differentiable function have to be Lebesgue integrable in some interval?

derivative of the $L^p$-norm with respect to $p$

What is the second derivative of the absolute function $\left|\frac{x+1}{x+2}\right|$?

Working with infinitesimals of the form d(f(x)), for example d(ax), and relating them to dx (integration, delta function)

The derivative $\frac{\mathrm d}{\mathrm dx} x^x=x^x\left(\ln x+1\right)$ is problematic for $x<0$

Uniform bound for integral in terms of $\left\lVert f' \right\rVert_4^4$