Analytical Derivative Calculator

This program calculates the derivative of a polynomial using symbolic differentiation. It currently supports polynomials with terms like a*x^n, where a is the coefficient, x is the variable, and n is the exponent.

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Features

• Flexible Input: Accepts user-input polynomials (e.g., 3*x^3 - 4*x^2 + 5*x - 7).
• Handles Spaces: Automatically removes unnecessary spaces in the input.
• Symbolic Differentiation: Applies the power rule to calculate derivatives.
• Formatted Output: Returns the derivative in a clean, readable polynomial format.

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Requirements

• Python 3.x

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Usage

1. Run the Script
   Execute the script in your terminal or IDE:

   python polynomial_derivative_calculator.py
   

2. Enter a Polynomial When prompted, input a polynomial. For example:

   Enter a polynomial (e.g., 3*x^3 - 4*x^2 + 5*x - 7): 3*x^3 - 4*x^2 + 5*x - 7

3. View the Output The program will output the derivative. For the above input, it will display:

   Derivative: 9*x^2 - 8*x + 5

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Further Enhancements

• Add support for fractional exponents.
• Extend functionality to handle trigonometric, logarithmic, and exponential terms.
• Validate input for errors and provide helpful feedback