Programming Language: C++ and Ruby

Purpose: A gap in symbolic maths in the Ruby and C++ community, and calculus practice.

SymCalc is a library written for C++ and Ruby designed to implement mathematical functions in symbolic form and perform basic calculus operations like differentiation. In calculus, the derivative of a function represents the rate of change in the value with respect to the input's change. SymCalc provides intuitive and easy to use methods to define these functions and find their derivatives, helping developers use calculus in their programs.

Users can define variables like x and then use them to define functions using a range of existing operations, like multiplication, sum, exp, log and more. After that they can evaluate the functions at certain points or find their derivatives with the algorithms of SymCalc.

This tool can be very useful in different areas of programming that require calculus, like physics, engineering, AI and more. SymCalc can be also helpful for students learning calculus and its concepts, from testing their knowledge with hands-on practice, to inspecting the source code of SymCalc to understand the underlying mechanics. Overall, SymCalc simplifies the process of computing derivatives of n-dimensional functions, allowing developers to focus on the conceptual aspects of calculus rather than manual computation of derivatives.