handyderivatives
A command line program to do some differential calculus. This is essentially a wrapper for some of SymPy's calculus tools. Here is SymPy's calculus documentation.
Right now it has the functionality listed below.
- Differentiate elementary functions.
- Get the gradient of a scalar field.
Installation
pip3 install handyderivatives
Running it
To get the derivatives for an arbitrary number of functions of a single variable.
handyderivatives -d 'f(x) = x ^ 2' 'g(x) = sin(x) + 2 * x'
To get the gradient for an arbitrary number of scalar functions.
handyderivatives -g 'f(x,y,z) = ln(x / (2 * y)) - z^2 * (x - 2 * y) - 3*z'
Or run that with one command.
handyderivatives -d 'f(x) = x ^ 2' 'g(x) = sin(x) + 2 * x' -g 'f(x,y,z) = ln(x / (2 * y)) - z^2 * (x - 2 * y) - 3*z'
To differentiate a list of functions in a file and output that to a LaTeX document.
handyderivatives --latex -f functions.txt
handyderivatives -l -f functions.txt
The -l flag can also be used in the earlier examples.
Help
usage: handyderivatives [-h] [--input-file FILE] [--latex] [--diff [DIFFERENTIAL [DIFFERENTIAL ...]]] [--gradient [GRADIENT [GRADIENT ...]]]
Command line differential calculus tool using SymPy.
Try running:
handyderivatives -l -g 'f(x,y) = sin(x) * cos(y)'
optional arguments:
-h, --help show this help message and exit
--input-file FILE, -f FILE
Input file
--latex, -l Compile a LaTeX document as output
--diff [DIFFERENTIAL [DIFFERENTIAL ...]], -d [DIFFERENTIAL [DIFFERENTIAL ...]]
Works for equations written in the form 'f(x) = x ^2'
--gradient [GRADIENT [GRADIENT ...]], -g [GRADIENT [GRADIENT ...]]
Works for scalar functions written in form 'f(x,y,z) = x ^2 * sin(y) * cos(z)'
How the input file should be formatted
Edit a file that has functions listed one per line. The left hand side should be what your function will be differentiated with respect to, i.e f(x) . The right hand side will be the expression.
# This is how the file for the argument -f should be formatted.
c(x) = r * (cos(x) + sqrt(-1) * sin(x))
a(t) = 1/2 * g * t ** 2
f(x) = sin(x**2) * x^2
h(w) = E ^ (w^4 - (3 * w)^2 + 9) # Capital E is interpreted by SymPy as the base of the natural log.
g(x) = exp(3 * pi) # So is exp(x), but written as a function taking an argument.
p(j) = csc(j^2)
If you don't format it like that you will likely run into errors. You can add comments.
