Numerical Method20815 marksNumerical: Numerical differentiation velocity accelerationDifferentiating Tabulated Functions by using Newton's Differ
What is numerical differentiation? The table below gives the values of distance travelled by a vehicle at various time intervals. Estimate the velocity and acceleration at x=4. | Time (x) | 1 | 2 | 4 | 8 | 10 | |---|---|---|---|---|---| | Distance (y) | 0 | 1 | 5 | 21 | 27 |
What is numerical differentiation? The table below gives the values of distance travelled by a vehicle at various time intervals. Estimate the velocity and acceleration at $x=4$.
| Time $(x)$ | 1 | 2 | 4 | 8 | 10 |
|---|---|---|---|---|---|
| Distance $(y)$ | 0 | 1 | 5 | 21 | 27 |
[5]
Numerical differentiation is the process of estimating the derivative (rate of change) of a function from a set of tabulated/discrete data values, instead of differentiating a closed-form expression analytically. It is used when the function is either unknown (only data points are given) or too c...