1. Numerical Differentiation
Fisika Komputasi
Numerical Differentiation

2. The Taylor Series
(1)
f (x)
f (x0) x x0

3. The Taylor Series Nilai fungsi pada titik x0+Dx (2)
(3)

4. The Taylor Series

5. Numerical Differentiation
the forward Taylor series expansion
the first forward difference
h is called the step size

6. Numerical Differentiation
Backward Difference Approximation of the First Derivative

7. Numerical Differentiation
Centered Difference Approximation of the First Derivative

8. Numerical Differentiation

9. Numerical Differentiation

10. Numerical Differentiation

11. Numerical Differentiation

12. Derivative from difference tables

13. Derivative from difference tables

14. Derivative from difference tables

15. Numerical Differentiation

16. Numerical Differentiation

17. Numerical Differentiation