Find if the function is Continuous and whether the partial derivatives exist
39995
Showing that partial derivatives of $f(x) = \frac{xy}{x^2+y^2}$ exist for $(x,y) \neq (0,0)$
56712
How can I find the domain and derivative of the function?
125024
Is this function uniformly continuous?
76607
Show that exists a continuous function in $E$ that is not bounded
117613
Interchange of partial derivative and limit
110112
Proving a function is Lipschitz continuous
75390
How does one prove that if function's partial derivative respect to every variable is zero, function is constant?
5419
Continuous functions with $f^2(x)=g^2(x)\neq 0$
17234
Show that a continuous function has a fixed point
54500
Is the continuity of a vector field enough for the existence of the solution of a differential equation?
151573
Show f is continuous on (0, ∞) iff f is continuous at 1 for a defined function.
13829
PDE list of equations, derivative for boundarry condition evaluates to true
150833
Discontinuities of the derivative of a differentiable function on closed interval
62048
Proving a Lipschitz function is continuous
97553
Continuity of $\frac{2xy}{x^2+y^2}$ at $(0,0)$
127114
Differentiability implying continuity
115635
Differentiability of antiderivative and continuity of derivative