First order partial derivatives and ball centered at $a$
5416
How does one prove if a multivariate function is constant?
146318
Derivative of f(x)=arth(lnx)
113888
Behavior of derivative near the zero of a function.
56936
$\frac{\partial f_i}{x_j}=\frac{\partial f_j}{x_i}\implies(f_1,\ldots,f_n)$ is a gradient
129765
Mean value theorem for the second derivative, when the first derivative is zero at endpoints
39451
Proving inequation with maximum and 2nd derivative
107894
Inequality involving the sup of a function and its first and second derivatives
108593
First order weak derivatives of $f(x)=|x|^r$
66639
Second Derivative
70438
Generalize Clairaut-Schwarz theorem to arbitrary order of mixed partial derivatives
28315
Monotone functions and non-vanishing of derivative
135941
Derivative of $|x|^\alpha$
2129
Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$
125738
Names of higher-order derivatives
8844
Higher-order partial derivatives w.r.t. variable raised to some power
4989
Why are there only derivatives to the first order in the Lagrangian?
56429
Extension of partial derivatives and the definition of $C^k(\overline{\Omega})$