Strictly increasing function and its derivative
28315
Monotone functions and non-vanishing of derivative
105658
Show that a function that is locally increasing is increasing?
64836
Functions that are always less than their derivatives
131992
A problem on continuous functions
60897
Non-integer order derivative
113888
Behavior of derivative near the zero of a function.
34187
The limit of the derivative of an increasing and bounded function is always $0$?
135999
One sided limit of an increasing function defined on an open interval
64708
Proof that exponential function's limit definition increases monotonically?
135941
Derivative of $|x|^\alpha$
53497
Prove that the function is continuous and differentiable (not as easy as it sounds imo)
133917
$100$-th derivative of the function $f(x)=e^{x}\cos(x)$
98462
Prove the inverse of a strictly increasing function is differentiable.
15155
Derivative of an even function is odd and vice versa
62270
Given two increasing continuous functions $f,g$ prove that $(b-a) \int^b_a f(x)g(x) dx > \int^b_a f(x) dx \int^b_a g(x) dx$
84436
third derivative of inverse function
107609
Function whose third derivative is itself.