Derivative Calculator
Free derivative calculator with step-by-step differentiation for polynomials, trig, exponential, and composite functions.
What is the Derivative Calculator?
A derivative measures how a function changes. This Derivative Calculator page explains differentiation rules, shows worked examples, and embeds the interactive tool.
When to use this tool
- Find dy/dx for homework
- Check chain-rule work
Formulas & definitions
- Power rule: d/dx [x^n] = n*x^(n-1)
- Product rule: (uv)' = u'v + uv'
- Chain rule: d/dx [f(g(x))] = f'(g(x))*g'(x)
Worked examples
Polynomial
Input: 3x^4 - 2x + 5
Result: 12x^3 - 2
Chain rule
Input: e^(2x)
Result: 2e^(2x)
How to use
- Open the interactive calculator on this page.
- Enter your values or expression.
- Calculate and review the result and explanation.
Key features
- Free online tool
- Clear explanations
- No signup required
Frequently asked questions
Is the Derivative Calculator free to use?
Yes. The Derivative Calculator on MathSolver360 is free online and does not require an account.
Who can use the Derivative Calculator?
Students, teachers, engineers, and anyone who needs quick, clear math results with explanations.
Browse all math calculators · Home · Derivative Calculator · Matrix Calculator · Limit Calculator · Area Calculator · Probability Calculator