Solve: $f''(x) = f^{-1}(x)$
16034
Function whose inverse is also its derivative?
71465
solution of $y' = \exp \left(-\frac yx\right) + \frac yx$
6680
Solve for all possible functions f: $|f(x)-f(y)|=2|x-y|$.
30860
Prove that $f(x)=0$ in $[-1,1]$.
110643
What are the strategies I can use to prove $f^{-1}(S \cap T) = f^{-1}(S) \cap f^{-1}(T)$?
74583
Prove that $f'(0)=L$.
61782
How to prove that $f(x) = \frac{-2x+1}{(2x-1)^2-1}$ is one-to-one on $(0,1)$?
20568
Does the following have a solution for f(x,y)?
3424
Use taylor series to arrive at the expression f'(x)=1/h[-3*f(x)/2+2f(x+h)-f(x+2h)/2]
30204
Prove that $f'(0)$ exists and $f'(0) = b/(a - 1)$
75092
Initial value problem $x'=x^{2/3}$
76311
$f'' + f =0$: finding $f$ using power series
95684
Show that $g'(x)+g(x)-2e^x=0$
66406
How to calculate $f(x)$ in $f(f(x)) = e^x$?
105319
A calculus problem with functions such that $f''(x) = g(x)$ and $g''(x) = f(x)$
85386
Differential equation $y''=\frac{y'}{2\sqrt y}$
2072
Demonstrate that if $f$ is surjective then $X = f(f^{-1}(X))$