|
|
Home > Numerical methods calculators > Four point Forward difference, Backward difference, Central difference formula numerical differentiation calculator
|
|
|
Method and examples
|
Four point Forward difference formula |
|
Find
|
|
Method
|
|
|
f(x) =
|
estimate `f^(')` or `f^('')`
()
|
h =
|
difference formula
|
|
- `f(x)=cosx` and `h = 0.05`, estimate `f^'(1.2)`,`f^('')(1.2)`
using Four point Forward difference formula Also find exact value of f', f'' and error for each estimation
- `f(x)=2x^3+x^2-4` and `h = 0.5`, estimate `f^'(2.5)`,`f^('')(2.5)`
using Four point Forward difference formula Also find exact value of f', f'' and error for each estimation
- `f(x)=xlnx` and `h = 1`, estimate `f^'(5)`,`f^('')(5)`
using Four point Forward difference formula Also find exact value of f', f'' and error for each estimation
- `f(x)=sinx` and `h = 0.1`, estimate `f^'(0.8)`,`f^('')(0.8)`
using Four point Forward difference formula Also find exact value of f', f'' and error for each estimation
|
|
Decimal Place =
|
Trigonometry Function Mode =
|
|
|
|
|
Formula For first derivatives : Four-point CDF For second derivatives : Four-point FDF, BDF
|
|
Solution
|
Solution provided by AtoZmath.com
|
|
Four point Forward difference formula calculator
|
1. Using 4 point Forward difference, Backward difference, Central difference formula to find solution
x | 1 | 1.05 | 1.10 | 1.15 | 1.20 | 1.25 | 1.30 | f(x) | 1 | 1.02470 | 1.04881 | 1.07238 | 1.09545 | 1.11803 | 1.14018 |
`f^'(1.10) and f^('')(1.10)`
2. Using 4 point Forward difference, Backward difference, Central difference formula to find solution
x | 1 | 1.05 | 1.10 | 1.15 | 1.20 | 1.25 | 1.30 | f(x) | 1 | 1.02470 | 1.04881 | 1.07238 | 1.09545 | 1.11803 | 1.14018 |
`f^'(1.15) and f^('')(1.15)`
3. `f(x)=cosx` and `h = 0.05`, estimate `f^'(1.2) and f^('')(1.2)` using 4 point Forward difference, Backward difference, Central difference formula numerical differentiation Also find exact value of f', f'' and error for each estimation
4. `f(x)=2x^3+x^2-4` and `h = 0.5`, estimate `f^'(2.5) and f^('')(2.5)` using 4 point Forward difference, Backward difference, Central difference formula numerical differentiation Also find exact value of f', f'' and error for each estimation
5. `f(x)=xlnx` and `h = 1`, estimate `f^'(5) and f^('')(5)` using 4 point Forward difference, Backward difference, Central difference formula numerical differentiation Also find exact value of f', f'' and error for each estimation
6. `f(x)=sinx` and `h = 0.1`, estimate `f^'(0.8) and f^('')(0.8)` using 4 point Forward difference, Backward difference, Central difference formula numerical differentiation Also find exact value of f', f'' and error for each estimation
|
|
|
|
|
|
|
Share this solution or page with your friends.
|
|
|
|