A problem to prove $f'(c)$ as a sum of the given elements as in problem
52922
let $f \colon [a,b] \to \mathbb{R}$ be continuous on $[a,b]$ and..
65901
Solution verification to complex analysis problem, prove $f$ is a polynomial.
58943
If $f'(x)\le g'(x)$, prove $f(x)\le g(x)$
717
Proof of Frullani's theorem
101899
Proof By Induction of a Sum
48592
Prove that $f'$ exists for all $x$ in $R$ if $f(x+y)=f(x)f(y)$ and $f'(0)$ exists
149586
If $\lim_{x\to\infty} f'(x) = L$, prove that $\lim_{x\to\infty} f(x+c)-f(x) = cL$ and $\lim_{x\to\infty} f(x)/x=L$
78834
if f(x) if differentiable and continuous, prove $\frac{af(a)-bf(b)}{a-b} = f(c) + cf'(c) $
120215
Sum of elements of a finite field
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
74583
Prove that $f'(0)=L$.
139453
Prove that $\frac{1}{f'(a)} = \frac{1}{2\pi i} \int_C \frac{1}{f(z)-f(a)} dz$
157328
A complex analysis problem to prove an inequality
98344
Prove that $\int_0^1[f''(x)]^2dx\ge4.$
8913
Show that there is $\xi$ s.t. $f(\xi)=f\left(\xi+\frac{1}{n}\right)$
105700
Proving $\,f$ is constant.
149739
Prove: $f(t)\leq t+1$