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Questions tagged [differentiation]

The process of finding a derivative.

In calculus, a branch of mathematics, the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity.

The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point. In higher dimensions, the derivative of a function at a point is a linear transformation called the linearization.[1] A closely related notion is the differential of a function.

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How to get all the zeroes for the derivative of a function using DualNumbers

The original problem I had was, given an interval, [a, b] and a function f(x) and its derivative continuous over that interval, find the minimum and maximum of the derivative over that integral, (and since it's continuous, every single value of the…
Saurav Chittal
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Automatic Differentiation in R (or through any other means?)

I want to calculate the derivative of the following function: (plogis(-0.17283 + 0.0000471*x[1])*exp(9.53643)*(x[1])^0.468)+ (plogis(-0.17283 + 0.0000471*x[2])*exp(9.53643)*(x[2])^0.468)+ (plogis(-0.17283 +…
user16993967
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Differentiating pnorm() in R to show that the PDF of a continuous variable is the derivative of the CDF

I need to demonstrate that the probability density function is the derivative of the CDF. Any distribution will do, but I have been trying with the normal. I have got as far as: set.seed(53) b <- rnorm(500) db <- density(b) plot(db) Then I can…
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How to differentiate an expression?

Here's the script of the basic Bollinger Bands Width indicator (plus my commented explanation): //@version=5 indicator(title="Bollinger Bands Width", shorttitle="BBW", format=format.price, precision=2, timeframe="", timeframe_gaps=true) length =…
Vendrel
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Plotting a graph for the double differentiation of a function on OCTAVE

trying to plot the function for the double differentiation of a function on octave with no luck. I am trying to plot the double derivative of sin(x) in this case. I know how to find the derivative of sin(x) on octave x1 = linspace(-2*pi, 2* pi); y1…
Prajwal Sagar
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How to differentiate a expression with respect to a symbol that is not a free symbol of the expression in SymPy?

I have the following equation, like this: y = 3x2 + x Then, I want to differentiate the both side w.r.t the variable t with sympy. I try to implement it in the following code in JupyterNotebook: >>> import sympy as sp >>> x, y, t = sp.symbols('x y…
Jet C.
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Function to invert Eigen matrix without branching statements for auto differentiation

I need to invert an Eigen matrix (9x9 in my particular case) as a part of code that I want to automatically differentiate using CppAD. For this to succeed the code executing the inversion can not contain any branching like for example if or switch…
Manumerous
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Numerical differentiation of a function of many variables

I have to count this. in this way I chose the second method. But I'm not at all sure if I did it right.But I think not.Because I don't even understand how to count it on a piece of paper. At the same time, I was told to calculate it with a given…
user17059077
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How is it possible to define a equation, differentiate and plot it, using Sympy in Jupyter Nootebook?

In Jupyter Notebook i would like to define a equation, differentiate and plot the equation. import sympy as sp from IPython.display import display sp.init_printing() import matplotlib.pyplot as plt import numpy as np x = sp.symbols('x') def…
M_Mueller
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Plotting a derivative

I have an implicit function, and I'm trying to plot the derivative of the solution of this function. The function is: p = \[Phi]/(1/\[Beta]) + ((1 - \[Phi]) \[Phi] (1 - \[Lambda]) \ \[Beta])/(((W - A) 1/\[Beta] + \[Phi] A/ p) 1/\[Beta] +…
fatpandabot
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How to use np.gradient on multidimensional data?

There exist a lot of questions on this, but I can't find one that describes this particular use case. I have a matrix P, which gives a scalar value in a 3D field of size (dx,dy,dz)=(360, 720, 30) over 41 timesteps. That is, >>> np.shape(P) (41, 30,…
pretzlstyle
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sympy - differentiation over an abstract component

I'm working differentiating in sympy, thanks to this answer I'm almost done, but not quite. I have the following code in variations: From the answer x = IndexedBase('x') alpha, beta, gamma = symbols('alpha beta gamma', integer=True) r =…
Bbllaaddee
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How can I calculate the analytical derivative of a function?

How can I analytically differentiate in Python? E.g: d/dx (x^3 * L * lambda /(pi*d)) Additional:
Karl
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matlab nonlinear equations

my code is: function F=root4d(x) W1 = 0.928*(6-0.928)/tan(x(3))*20; W2 = (6-0.928)*((6-0.928)/(tan(x(3))))/2*20; F(1)= x(4)*cos(10*pi/180)+x(1)*cos(x(3))-x(2)*sin(x(3)); F(2)=…
Yoel Schvarcz
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Finding largest cylinder to be placed in a sphere of a given radius

Take both volumes, viz.: pi r^2 h to be < 4/3 pi a^3, to distinguish between radii of the 2 figures, let us call the radius of the sphere a pi is divided out r^2 h < 4/3 a^3 It is time to take the derivate in order to find the maximal r, but the 4/3…
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