In my AI textbook there is this paragraph, without any explanation. The sigmoid function is defined as follows $$\sigma (x) = \frac {1} {1+e^ {-x}}.$$ This function is easy to differentiate

Dec 17, 2023 · In principle, can a piecewise-defined function have a (nontrivial) piecewise-defined derivative, though? Sure, that's not an issue by any means, and sometimes is even an important …

Mar 25, 2021 · Fastest way to find derivative of the function at the given point Ask Question Asked 4 years, 8 months ago Modified 4 years, 7 months ago

Feb 14, 2013 · I need to find the derivative of each line and graph those as well. There is no known function that creates these curves, so I can't simply find the derivative of a function. All I have is a …

Apr 6, 2021 · Both these are wrong ways of calculating derivative as derivative of $f$ at a point ($x=0$ here) requires $f$ to be atleast defined in some neighborhood of $a$ as per definition of $f' (0)$.

Dec 9, 2020 · Then the 6th derivative is 1/3! * 6! = 120. I am confused because taylor series seems really unrelated; there should be an equally easy way to do this just with derivatives and chain rule …

Jun 22, 2020 · To answer your question, “am I doing wrong?”, you cannot get the derivative of a function by just using algebra to express the function in an equivalent expression. All of your algebraic …

Sep 1, 2016 · The real absolute value function has a derivative for every $x\ne0$, but is not differentiable at $x=0$. Its derivative for $x\ne0$ is given by the step function.

Sep 12, 2019 · Yes, this is a homework problem :), so I'm not looking for the answer just how to approach it. Find derivative using a table of values

Feb 13, 2024 · From Wolfram research: The fundamental Theorem of Calculus applies when f (x) is continuous:; with your question, f (x) is not continuous, which is problematic for taking a derivative of …