Prove $f(x) = x^{2}\cos(1/x)$ is differentiable
59956
Show that the function $g(x) = x^2 \sin(\frac{1}{x}) ,(g(0) = 0)$ is everywhere differentiable and that $g′(0) = 0$
137527
if $f(x)$ is differentiable at a x, prove that: $\lim_{h\to0}\frac{f(x+h)-f(x-h)}{2h}$
12653
Prove $\int\cos^n x \ dx = \frac{1}n \cos^{n-1}x \sin x + \frac{n-1}{n}\int\cos^{n-2} x \ dx$
157211
Find the derivative of the inverse of this real function $f(x) = 2x + \cos(x)$
145173
$f: \mathbb{R}^2-\{0\} \rightarrow \mathbb{R}$ is continuously differentiable and $f(\alpha x) = \alpha^2f(x)$, then $x \cdot \nabla f(x) = 2 f(x)$
7296
Prove $(1-\cos x)/\sin x = \tan x/2$
133917
$100$-th derivative of the function $f(x)=e^{x}\cos(x)$
139216
Use the definition of derivative to find $f'(x)$ for $f(x) = x^{1/2}$.
142870
Prove the function is not differentiable at (0,0)
3387
Derivative of $f(x)=|x|$
49705
Is $f(x,y)=(x+2y+y^2+|xy|, 2x+y+x^2+|xy|)$ differentiable?
85085
Simplifying the derivative of $|x|$
94193
determine whether $f(x, y) = \frac{xy^3}{x^2 + y^4}$ is differentiable at $(0, 0)$.
22313
How should I calculate the $n$th derivative of $f(x)=x^x$?
53767
How to prove that derivatives have the Intermediate Value Property
8659
How do you show that $e^{-1/x^2}$ is differentiable at $0$?
146047
Proving that $\cos(2\pi/n)$ is algebraic