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

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

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 …

How to find the derivative of a fraction? Ask Question Asked 11 years, 4 months ago Modified 11 years, 4 months ago

A geometric way of thinking about the $n$-th derivative in one variable is that is the best possible $n$-th degree approximation to the function, after the lower derivatives have been subtracted …

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 …

What would be the derivative of square roots? For example if I have $2 \\sqrt{x}$ or $\\sqrt{x}$. I'm unsure how to find the derivative of these and include them especially in something like implicit.

Mar 25, 2021 · Fastest way to find derivative of the function at the given point Ask Question Asked 4 years, 7 months ago Modified 4 years, 6 months ago

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.