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

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 …

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 …

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 …

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.

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

Jan 29, 2013 · Here we have one function (xi−μ) that is part of a larger function in that it is raised to a power of 2, (μ−i)^2 ? According to the extended power rule, we multiply the derivative of …

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.

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.