Prove that differentiable monotonic function's inverse is differentiable
98462
Prove the inverse of a strictly increasing function is differentiable.
12726
Differentiating both sides of a non-differential equation
18734
Showing that a function is differentiable
28315
Monotone functions and non-vanishing of derivative
52701
Manipulating Partial Derivatives of Inverse Function
126461
Show that $g:I\to\mathbb{R}$ is continuous and $f:(x-x_0)g(x)$ is differentiable
131357
Prove that $f(x,y)=xy$ is differentiable using the definition
35264
Must a monotone function have a monotone derivative?
38923
What can we say about differentiability of $f$ at $c$?
16034
Function whose inverse is also its derivative?
38192
Derivative of inverse function at a point.
149390
Fixed point of a Function (monotonically increasing)
597
f is differentiable on convex domain D and Re(f')>0 implies f is injective on D
157925
How to prove that the implicit function theorem implies the inverse function theorem?
71619
Proving that a convex function is Lipschitz
64708
Proof that exponential function's limit definition increases monotonically?
115712
Application of Derivatives rigorous proof