Numerical Derivative Calculator
Estimate the derivative of a function at a point using central difference method.
- Free Online Tool
- Instant Results
- Mobile Friendly
- No Installation
- Secure & Private
Understanding This Calculator
Numerical Differentiation
Estimates the derivative f'(x) using the central difference quotient for better accuracy.
f'(x) ≈ [f(x + h) - f(x - h)] / 2h
Example 1
f(x) = x², x = 3
- Exact f'(x) = 2x = 6
- Approx (h=0.001): [(3.001)² - (2.999)²] / 0.002
- (9.006001 - 8.994001) / 0.002 = 0.012 / 0.002 = 6
Example 2
f(x) = sin(x), x = 0
- Exact f'(0) = cos(0) = 1
- Approx: [sin(0.001) - sin(-0.001)] / 0.002 ≈ 1.0
How to Use
- Enter the function using x as variable (supports: +, -, *, /, ^, sin, cos, tan, log, sqrt).
- Enter the x value.
Frequently Asked Questions
How do I use the Numerical Derivative Calculator?
Enter your values in the input fields, and the result will appear instantly.
Is this calculator free to use?
Yes, this calculator is 100% free and does not require any registration or subscription.
Is it mobile-friendly?
Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.