Derivative Calculator
Use an AI derivative calculator to understand polynomial derivatives step by step with text, LaTeX, or an image.
What this calculator does
A derivative describes how a function changes as its input changes. AIMath can explain polynomial derivatives step by step and show which differentiation rule is being used.
Solve this with AIMath
Use AIMath's AI Math Solver for the full problem, step-by-step reasoning, images, and follow-up questions. Your selected topic will be prefilled on the solver page.
Solve with AI Math SolverWhy use AIMath?
- Get a readable explanation instead of only a final expression.
- Ask follow-up questions about the power, product, or chain rule.
- Use text, LaTeX, or a clear image of the problem.
How to use this calculator
- Open AI Math Solver from this page.
- Enter a function such as f(x)=x^3+2x^2-5x, or upload a problem image.
- Review the derivative and the explanation of each rule.
- Ask a follow-up question if a step is unclear.
Worked example
Find the derivative of f(x)=x^3+2x^2-5x.
- Differentiate x^3 with the power rule to get 3x^2.
- Differentiate 2x^2 to get 4x.
- Differentiate -5x to get -5 and combine the terms.
Result: f'(x)=3x^2+4x-5.
Supported inputs
- Polynomial expressions written in text or LaTeX
- Photos or screenshots of derivative exercises
- Follow-up questions about differentiation rules
Limitations
- This page does not run a separate local calculation engine; it is an AI Math Solver entry point.
- Very complex notation may need a clearer image or a typed expression.
Frequently asked questions
What does a derivative calculator find?
It helps find and explain the rate of change of a function, such as its first derivative.
Can I upload a derivative problem?
Yes. Use a readable photo or screenshot in AI Math Solver and check the interpreted expression before solving.
Can AIMath explain the power rule?
Yes. Ask the Solver to identify the rule and explain each term in the derivative.
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