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Home > Numerical methods calculators > Two point Forward difference, Backward difference, Central difference formula numerical differentiation calculator
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Method and examples
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Two point Forward difference formula |
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Find
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Method
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f(x) =
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estimate `f^(')` or `f^('')`
()
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h =
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difference formula
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- `f(x)=cosx` and `h = 0.05`, estimate `f^'(1.2)`,`f^('')(1.2)`
using Two 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 Two 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 Two 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 Two point Forward difference formula
Also find exact value of f', f'' and error for each estimation
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Decimal Place =
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Trigonometry Function Mode =
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Formula
For first derivatives : Two-point FDF, BDF, CDF
For second derivatives : Two-point (None)
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Solution
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Solution provided by AtoZmath.com
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Two point Forward difference formula calculator
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1. Using 2 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 2 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 2 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 2 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 2 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 2 point Forward difference, Backward difference, Central difference formula numerical differentiation
Also find exact value of f', f'' and error for each estimation
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