Calculus & Numerical Methods
Second Derivative
Approximate f''(x) numerically.
Formula
Formula
f''(x) ≈ f(x+h) − 2f(x) + f(x−h)h2
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| f | function of x | expression / text | x | input |
| x | evaluation point | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenf(x) = x*x*x, x = 2
Result12.00000019
Example 2
Givenf(x) = exp(x), x = 0
Result1.000000005