Number of continuously differentiable functions satisfying $f(x)>0$ and $f'(x)=f(f(x))$?
17154
Does a non-trivial solution exist for $f'(x)=f(f(x))$?
30590
Are "most" continuous functions also differentiable?
69008
$f'(x) = [f(x)]^{2}$. Prove $f(x) = 0 $
104263
How to show that $f'(x)<2f(x)$
112923
Let $f:\mathbb{R}\longrightarrow \mathbb{R}$ a differentiable function such that $f'(x)=0$ for all $x\in\mathbb{Q}$
25482
If a function is continuous and differentiable everywhere is the derivative continuous?
2717
Help proving existence of an specific $x_0$ for which $f''(x_0)=0$
71260
Check differentiability of multivariable functions
107795
If $\,f''(x) \ge f(x)$, for all $x\in[0,\infty),$ and $\,f(0)=f'(0)=1$, then is $\,f(x)>0$?
44336
Is $\lim\limits_{x\to x_0}f'(x)=f'(x_0)$?
71127
How do I find $f(0)$, $f'(0)$, and $f'(x)$ given $f(x+y)=f(x)+f(y)+x^2y+xy^2$ and $\lim_{x\to0}\frac{f(x)}{x}=1$?
145173
$f: \mathbb{R}^2-\{0\} \rightarrow \mathbb{R}$ is continuously differentiable and $f(\alpha x) = \alpha^2f(x)$, then $x \cdot \nabla f(x) = 2 f(x)$
64339
Find $f$ where $f'(x) = f(1+x)$
1440
Are the any non-trivial functions where $f(x)=f'(x)$ not of the form $Ae^x$
26754
Find all continuous functions satisfying $\int_0^xf=(f(x))^2+C$ for some constant $C \neq 0$.
68048
Prove that if $f$ is differentiable on $[a,b]$ and $f'$ is monotonic on $[a,b]$ , $f'$ is continuous on $[a,b]$
96450
If $f(x)$ is continuous and differentiable function , prove that $f(x) \geq e^{3x}, \forall x \geq 0$