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 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 …

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

Oct 1, 2014 · Derivative of a function with respect to another function. [duplicate] Ask Question Asked 11 years, 2 months ago Modified 10 years, 3 months ago

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 $f' (0)$.

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 …

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 …

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

Then you can write the Taylor series expansion of that function around the point you are trying to approximate the derivative. Evaluate these expressions at given points, then try to find a linear …