If the derivative of a function is square of it then it is constant
69008
$f'(x) = [f(x)]^{2}$. Prove $f(x) = 0 $
75932
Differentiability of $g:=f(\sqrt{x^2+y^2})$ for a $C^1$ function with $f'(0)=0$ NBHM $2008$
77267
Given $f$ is continuous and $f(x)=f(e^{t}x)$ for all $x\in\mathbb{R}$ and $t\ge0$, show that $f$ is constant function
12408
Prove that a function whose derivative is bounded is uniformly continuous.
66181
Find the derivative of the function
50103
Show that a continuous function satisfying $f(2^x)=f(3^x)$ for $x\in (0,\infty)$ is a constant function
8179
If $f$ is entire and $|f|\geq 1$, then show $f$ is constant.
156942
Square of a second derivative is the fourth derivative
85730
Nth Derivative of a function
4636
How to show that $f$ is differentiable at $x=0.$
101700
Liouvilles theorem question - show $f$ is constant
106290
Prove a function is constant. (complex analysis)
56127
Prove a function is constant under certain conditions
154034
Suppose that $f(x)$ is continuous on $(0, \infty)$ such that for all $x > 0$,$f(x^2) = f(x)$. Prove that $f$ is a constant function.
97371
Proving a function is constant, under certain conditions?
97146
differentiate with respect to a function
56983
Square of a function with an essential singularity