Discuss the continuity and differentiability of $e^x$?
158681
How to show that $e^x$ is differentiable?
124499
Where is the error in my proof that all derivatives are continuous?
8659
How do you show that $e^{-1/x^2}$ is differentiable at $0$?
77624
Characterization of sets of differentiability
16375
Is the function differentiable at $0$?
66560
Is a differentiable function always continuous?
122003
From the limit definition of differentiability, determine where the function $f(x) = \sqrt{x}$ is differentiable?
31685
Differentiability of $f(x) = x^2 \sin{\frac{1}{x}}$ and $f'$
37850
Does the everywhere differentiability of $f$ imply it is absolutely continuous on a compact interval?
131060
Is $\sqrt{x}$ uniformly continuous in $\mathbb{R}^+$?
97146
differentiate with respect to a function
145368
How to show $f:Y\to X^{+}$ is continuous?
92399
Some questions about the function $xe^{-x}$
43874
Differentiability implies continuity - A question about the proof
114691
Why can't differentiability be generalized as nicely as continuity?
103241
A function that is continuous at the origin but not differentiable there
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Question on differentiability of a continuous function