A Function $f$ such that $f' = f^{-1}$
16034
Function whose inverse is also its derivative?
4065
What are the entire functions $f$ such that $|f'(z)| \leq |f(z)| \ ? $
1641
Proving $f' = - \frac{\partial{F}/\partial{x}}{\partial{F}/\partial{y}}$
143491
Show that $f$ is differentiable on $(−1, 1)$.
85535
Finding maximum of $|f'(i)|$
94944
Differentiable functions satisfying $f'(f(x))=f(f'(x))$
110704
Find all functions $f$ such that $f(x)+f(\frac{1}{1-x})=x$
126931
Find $f(x)$ such that $f(x)+f\left(\frac{1}{x}\right)=f(x)\cdot f\left(\frac{1}{x}\right)$
135577
Prove the existence of $c$ such that $f'(c) = 2c(f(c) - f(0))$
409
functions satisfying $f(x - y) = f(x) f(y) - f(a - x) f(a + y)$ and $f(0)=1$
138544
For which values of $x$, will $f (x) . f '(x) < 0$?
139216
Use the definition of derivative to find $f'(x)$ for $f(x) = x^{1/2}$.
11453
Find a real function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?
44148
Functions that are their own inverse.
105497
A function satisfying a series equation
52858
Find $f$ if $ f(x)+f\left(\frac{1}{1-x}\right)=x $
144773
function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?