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Method and examples
Numerical interpolation using Hermite's formula
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x =
Option :
  1. X01
    f(x)01
    f'(x)01
    and x=0.1
  2. X22.53
    f(x)0.693150.916291.09861
    f'(x)0.50.40.33333
    and x=2.7
  3. X11.1
    f(x)0.841470.89121
    f'(x)0.540300.4536
    and x=1.05
  4. X33.54
    f(x)1.09861.25281.3863
    f'(x)0.33330.28570.25
    and x=3.2
f(x) =
x1 = and x2 =
 x =
Step value (h) =  OR  Inverval (N) =
=
Option :
  1. `f(x)=2x^3-4x+1`
    x1 = 2 and x2 = 4
    x = 3.8
    Step value (h) = 1
    or N = 5
  2. `f(x)=2x^3-4x+1`
    x1 = 2 and x2 = 4
    x = 2.1
    Step value (h) = 1
    or N = 8
  3. `f(x)=x^3-x+1`
    x1 = 2 and x2 = 4
    x = 3.8
    Step value (h) = 1
    or N = 5
  4. `f(x)=x^3-x+1`
    x1 = 2 and x2 = 4
    x = 2.1
    Step value (h) = 1
    or N = 8
  5. `f(x)=x^3+x+2`
    x1 = 2 and x2 = 4
    x = 3.8
    Step value (h) = 1
    or N = 5
  6. `f(x)=x^3+x+2`
    x1 = 2 and x2 = 4
    x = 2.1
    Step value (h) = 1
    or N = 8
  7. `f(x)=sin(x)`
    x1 = 0 and x2 = 1.57
    x = 2
    Step value (h) = 1
    or N = 8
  8. `f(x)=cos(x)`
    x1 = 0 and x2 = 1.57
    x = 2
    Step value (h) = 1
    or N = 8
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