Derivative Calculator
The derivative of a function is the limit of the difference quotient and represents instantaneous rate of change.
Enter the function to differentiate. The default variable is x.
Solve a problem
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Example problems
How this solver works
- Parse the function.
- Apply mathjs symbolic differentiation.
- Simplify the result.
Formula
Power rule for n ≠ 0.
Worked examples
x^3
- 3x^2
Answer: 3x^2
Common mistakes
Differentiating a product as if it were a sum
Use the product rule for f(x)g(x).
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Frequently asked questions
What does a derivative tell me?
Slope of the tangent line, velocity if the function is position, and the instantaneous rate of change in general.