Derivative Calculator
Use this derivative calculator to estimate how fast a function changes at a given x-value.
Enter an expression and the point where you want the derivative.
The result is a numeric slope estimate, which is useful for calculus review and tangent-line intuition.
It works best with standard classroom functions written in x.
Assumptions
- This page estimates the derivative numerically, not symbolically.
- Very sharp corners, cusps, or discontinuities can make the estimate unstable.
- Use radians when your function includes trigonometric terms.
How this calculator works
Formula used
The derivative is estimated with a symmetric difference quotient: [f(x + h) - f(x - h)] / (2h).
Example calculation
For x^2 at x = 3, the derivative is about 6, which matches the exact derivative 2x.
Derivative Calculator FAQ
Is this derivative calculator exact?
It is designed as a practical estimate or classroom calculator for derivative calculator. Results can differ if your teacher, textbook, software, or engineering workflow uses different assumptions, notation, or precision.
Who should use this derivative calculator?
Students, parents, teachers, and everyday users can use it for homework checks, class review, exam prep, and quick planning calculations on a desktop or phone.
Does this replace official coursework, lab software, or professional tools?
No. These pages are educational calculators for learning and general use. For graded work, lab reports, engineering decisions, or research, verify the result with your course method or professional software.