limit of derivative and differentiable
21879
Show that if $\lim_{x\to a}f'(x) = A$ then $f'(a)$ exists and equals A
82837
Calculating limit of function
56048
Limit at infinity of $x^{1/x}$
101130
How to determine the limit of $ f(x, y)=\frac{9xy}{x^2 + y^2}$?
122003
From the limit definition of differentiability, determine where the function $f(x) = \sqrt{x}$ is differentiable?
14548
Multivariable limit $\frac{(2x^2)y}{x^4+y^2}$
83707
Suppose that $f$ is differentiable on $\mathbb{R}$ and $\lim_{x\to \infty}f'(x)=M$. Show that $\lim_{x\to \infty}f(x+1)-f(x)$ exists and find it.
91023
Limit of $y$ if limit of $y+y'$ goes to $0$?
113888
Behavior of derivative near the zero of a function.
11167
A counterexample of a differentiable function on an interval whose derivative is discontinuous
120784
Differentiablility over closed intervals
4289
$\lim_{x\to0}\dfrac{1}{x}-\lim_{x\to0}\dfrac{1}{x}$
18734
Showing that a function is differentiable
144795
Convergence or Divergence using Limits
99149
Limit of the difference between two exponential functions
89180
limit of reciprocal of function
28413
Limit of a continuous function