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 …

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

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

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 …

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 …

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 …

How to find the derivative of a fraction? Ask Question Asked 11 years, 5 months ago Modified 11 years, 5 months ago

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

Jun 19, 2017 · Here's a hint. Factor the denominator, and expand via "partial fractions". Then find the series for each term, and sum.