Derivatives

Take simple derivates in Haskell.

How does that work?

• 1: Equation applied to var
• 2: AST
• 3: Derivative Rules
• 4: AST simplifier
• 5: New equation

(1) -> (2) -> (3) -> (4) -> (5)

Usage

• ghc deriv.hs
• ./derive <equation> <var> // see Examples

Examples

x^7*4 (canonical form: 4x^7)

./deriv x**7*4 x
----- Output
28*x**6

x^7*4^2 (canonical form: 16x^7)

./deriv x**7*4**2 x
----- Output
112*x**6

4-3*x (canonical form: -3x+4

./deriv 4-3*x x
----- Output
-3

4*x-3*x^3 (canonical form: -3x^3+4x)

./deriv 4*x-3*x**3 y
----- Output
0

4*x*y-3*x^3 (canonical form: 4xy-3x^3

./deriv 4*x*y-3*x**3 y
----- Output
4*x

Info

Many derivatives (such as trigonometric derivatives) are not (yet) implemented. Feel free to add them.

Help

Pull requests are welcome :)