Show that a function $u$ has weak derivatives which satisfy the transport equation.
135568
Find weak form of linear transport equation
45071
Having the derivative be an operator
115635
Differentiability of antiderivative and continuity of derivative
146318
Derivative of f(x)=arth(lnx)
69945
A PDE exercise from Gilbarg Trudinger. problem 2.2
105293
Proof of the second symmetric derivative
132957
Prove that the derivative of $x^w$ is $w x^{w-1}$ for real $w$
126461
Show that $g:I\to\mathbb{R}$ is continuous and $f:(x-x_0)g(x)$ is differentiable
37303
Differential of a smooth function
104263
How to show that $f'(x)<2f(x)$
67292
Prove that $\lim_{t\to \infty} t\mu(\{x:f(x)\geq t\})=0$
115712
Application of Derivatives rigorous proof
52620
Solve the pde $u_t(x,t)=u_{xx}(x,t)-bu(x,t)+q(t)$ for $u(x,t)$
66481
Convergence of characteristic functions to $1$ on a neighborhood of $0$ and weak convergence
69378
The derivative of $x!$ and its continuity
16291
Discontinuous derivative.
43001
Proof for Dirichlet Function and discontinuous