derivative-calculator

live app: derivative-calculator

Calculates the symbolic derivative of the given function. It parses the expression first using recursive descent parsing and then recusrsively calculates the derivative. It uses MathJax to render mathematical expressions written in AsciiMath

The following functions and operators are currently supported functions: ln, sqrt, sin, cos, tan, cot, sec, cosec. operator: unary and binary - and +, ^ (exponential), * (multiplication), / (division)

All arguments to functions should be enclosed in parenthesis. for example : sin(x+1), sqrt(x^2)

Operator Precedance

0. ln, sqrt, sin, cos, tan, cot, sec, cosec
1. ^
2. unary - and +
3. * and /
4. d/dx
5. binary - and +

So, d/dx a*b means d/dx (a*b), but d/dx a + b means (d/dx a) + b. also sin(x)^3 means ((sin(x))^3 and not sin(x^3).

Operator Associativity

1. left associative: +, -, *, /
2. right associative: ^

So, a*b/c/d means ((a*b)/c)/d, and a^b^c means a^(b^c).

In case of power of trigonometric functions, input should be provided like (sin(x))^3, sin^3(x) will not work.

How to Run

• Install python and pip if not already installed.
• Install pipenv if not already installed by pip install pipenv
• git clone the repo
• cd to the project folder
• run pipenv --three to create a python3 virtual environment
• run pipenv install to install project dependencies
• run pipenv shell to activate virtual environment.
• run python app.py to run the development server. the server will be accessible now at http://localhost:5000