Numerical Derivative
Calculate Numerical Derivative instantly with the exact formula and a worked example.
Numerical Derivative
x
Power n in f = x^n
Numerical differentiation step h
f'(x) = n·x^(n-1)
3
Central difference
3.000001
Central difference error
1.0000e-6
Forward difference
3.003001
Forward difference error
0.003001
f(x)
1
More about: Numerical Derivative
What it calculates
The “Numerical Derivative” calculator computes f'(x) = n·x^(n-1) from 3 parameters: x, power n in f = x^n, numerical differentiation step h.
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters x = 1, Power n in f = x^n = 3, Numerical differentiation step h = 0.001 the result is 3 (Exact value from the rule (xⁿ)′ = n·xⁿ⁻¹).
How to use
- Enter x, power n in f = x^n and numerical differentiation step h — each field above is adjustable with a slider.
- f'(x) = n·x^(n-1) is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Numerical Derivative calculated?
The Numerical Derivative calculator computes f'(x) = n·x^(n-1) from x, power n in f = x^n, numerical differentiation step h. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Numerical Derivative calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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