Prove a function f is differentiable.
30204
Prove that $f'(0)$ exists and $f'(0) = b/(a - 1)$
83707
Suppose that $f$ is differentiable on $\mathbb{R}$ and $\lim_{x\to \infty}f'(x)=M$. Show that $\lim_{x\to \infty}f(x+1)-f(x)$ exists and find it.
16375
Is the function differentiable at $0$?
135693
Suppose f is a twice differentiable function with $f(0)=0$ and $f(1)=1$, $f'(0)=f'(1)=0$. Then show that $|f''(x)| > 4$ for some $x$ in $(0,1)$
6632
Sequence of differentiable functions
115635
Differentiability of antiderivative and continuity of derivative
150447
Prove a differentiable function between banach spaces is continuous
97371
Proving a function is constant, under certain conditions?
150005
Existence of points in a differentiable function
142870
Prove the function is not differentiable at (0,0)
26388
proof that function is constant
53767
How to prove that derivatives have the Intermediate Value Property
33130
$f$ differentiable except in $1$ point
44880
Prove that the derivative of an even differentiable function is odd, and the derivative of an odd is even.
18734
Showing that a function is differentiable
158681
How to show that $e^x$ is differentiable?
102549
Check the differentiability of the given function.