Sabetsuka (差別化) makes it easy and painless to differentiate polynomials.
The repository was inspired by the Nokogiri gem
Install the gem and add to the application's Gemfile by executing:
$ gem build sabetsuka.gemspec
$ gem install sabetsuka
or
$ bundle add sabetsuka
The term format: 3x^5, 5y, 7
The polynomial format: 3x + 5y + 6, 5x - 2, -3y^2 - 5
polynomial = Sabetsuka::Polynomial.new("3x^3 + 4x^2 + 5x + 4", "x")
derivative = polynomial.differentiate
puts "Polynomial: #{polynomial.to_s}"
puts "Derivative: #{derivative.to_s}"
# Output:
# Polynomial: 3x^3 + 4x^2 + 5x + 4
# Derivative: 9x^2 + 8x + 5