Calculation
Derivative Calculator
Estimate f′(x) at a point, find the tangent line, and visually compare the function with its derivative.
f(2)
1
f′(2)
8.00000001
Tangent line
y ≈ 8.00000001(x − 2) + 1
f(x)f′(x) numérica
The derivative is calculated numerically by central difference. A step h too large reduces precision and an extremely small one can increase rounding errors.
Frequently asked questions
Is the derivative symbolic?
No. This tool calculates a numerical approximation using the central difference method.
What's h?
It is the small interval used around the point to estimate the slope.
Can I see the derivative in a graph?
Yes. Both f(x) and the approximation of f′(x) are plotted over the same interval.