Prove this function is differentiable at a point but the partial derivatives are not continuous
62352
Proving a scalar function is differentiable at the origin but that its partial derivatives are not continuous at that point.
40429
Differentiability of this picewise function
99726
Proving that a function is not a contraction
58664
Proving a function is continuous for a fixed variable
1641
Proving $f' = - \frac{\partial{F}/\partial{x}}{\partial{F}/\partial{y}}$
2129
Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$
16375
Is the function differentiable at $0$?
43874
Differentiability implies continuity - A question about the proof
150833
Discontinuities of the derivative of a differentiable function on closed interval
69378
The derivative of $x!$ and its continuity
115712
Application of Derivatives rigorous proof
6417
Can a function be differentiable at the end points of its (closed interval) domain?
114691
Why can't differentiability be generalized as nicely as continuity?
111458
Prove that $f$ is differentiable
105068
Proving that the function is differentiable and $f'(0)=0$
35671
Why can a discontinuous function not be differentiable?
131357
Prove that $f(x,y)=xy$ is differentiable using the definition