A simple program that differentiates mathematical expressions. May or may not produce correct results. Based on the methods outlined here.

The program outputs the derivative of the expression in its second argument with respect to the variable given as its first argument. The first argument should be a single letter and the second can be any valid expression.

Some examples

cargo run v v^-5

Will produce (-5 / (v ^ 6)) as output.

cargo run x "x*ln(x+x)"

Will produce (1 + ln((2*x))) as output.

cargo run y y+1^y*22*y*x

Will produce (1 + (22*x)) as output.

cargo run x "cos(x)^(a+b*x)"

Will produce ((cos(x) ^ (a + (b*x)))*(((-1*sin(x)*(a + (b*x))) / cos(x)) + (b*ln(cos(x))))) as output.

Expressions are different elements seperated by the operators + (for addition),- (for subtraction),*(for multiplication),/ (for division) and ^ (for exponentiation). Possible elements are numbers (of the form 123 or 123.456), single letters to represent variables, or sequences of letters with an expression within parentheses to represent functions (fun(a+b+c)). You can use parentheses to be explicit about how expressions are evaluated too ((x+y)*z to multiply z by the sum of x and y).

Currently only the ln, sin and cos functions are differentiated, other functions will just be returned as is.