Derivative Calculator
Compute the derivative of a polynomial function with step-by-step explanation.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator computes the derivative of a polynomial function using the power rule.
- Enter the polynomial in the input field. Use standard algebraic notation, e.g.,
3x^2+2x+1. Supported:+,-, coefficients (e.g.,5),x, and exponents with^(e.g.,x^3). - Click "Calculate Derivative" or press Enter.
- View the result: The derivative
f'(x)appears in bold. Below it, a step-by-step breakdown shows the original function, the power rule applied, and each derived term. - If an error occurs, check your input for typos, missing operators, or unsupported characters (only numbers,
x,^,+,-are allowed).
Example: Input 3x^2+2x+1 → Output f'(x) = 6x+2.
Previous Results
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Frequently Asked Questions
This calculator currently supports polynomial functions with real coefficients and integer exponents.
Enter the polynomial using standard notation, e.g., 3x^2+2x+1. Use + and - for addition and subtraction, and x for the variable. Exponents are indicated with ^.
Yes, you can enter negative coefficients, e.g., -4x^3+2x-5.
The calculator will display an error message. Make sure to use proper syntax and avoid unsupported functions like sin or log.
