Solve $f(x) =f'(x) f''(x)$
139019
Polynomial satisfying $f(x) = f'(x) \cdot f''(x)$
109561
Find $F'(x)$ if $F(x) = \displaystyle \int_{0}^x xf(t)dt$.
1440
Are the any non-trivial functions where $f(x)=f'(x)$ not of the form $Ae^x$
20568
Does the following have a solution for f(x,y)?
23485
Solving $\forall x \in \mathbb{R}_+^*, f'(x) = f\left(\frac1{x}\right)$
8854
Prove $f $ is identically zero if $f(0)=0$ and $|f'(x)|\le|f(x)|$
17154
Does a non-trivial solution exist for $f'(x)=f(f(x))$?
21879
Show that if $\lim_{x\to a}f'(x) = A$ then $f'(a)$ exists and equals A
31732
If the function $f$ satisfies the equation $f(xf(y)+x)=xy+f(x)$, find $f$
153942
Solution of functional equation $f(x+y)=f(x)+f(y)+y\sqrt{f(x)}$
121455
$f(x)$ if $f(xy)=f(x) +f(y) +\frac{x+y-1}{xy}$
138544
For which values of $x$, will $f (x) . f '(x) < 0$?
105068
Proving that the function is differentiable and $f'(0)=0$
3387
Derivative of $f(x)=|x|$
9270
Differentiable function, with $f'(x)=[f(x)]^2$
34790
Find $f(1)$ from equation $\int_{0}^{x}f(t)dt = x+\int_{x}^{1}tf(t)dt$
76458
Solve the following functional equation $f(xf(y))+f(yf(x))=2xy$