MATH 5 FORMULAS

-3/2f(x0)+2f(x0+h)-1/2f(x0+2h)

FORWARD 1ST DERIVATIVE

2f(x0)-5f(x0+h)+4f(x0+2h)-1f(x0+3h)

FORWARD 2ND DERIVATIVE

-5/2f(x0)+9(x0+h)+12f(x0+2h)+7f(x0+3h)-3/2f(x0+4h)

FORWARD 3RD DERIVATIVE

3f(x0)-14f(x0+h)+26f(x0+2h)-24f(x0+3h)+11f(x0+4h)-2f(x0+5h)

FORWARD 4TH DERIVATIVE

-3/2f(x0)-2f(x0-h)+1/2f(x0-2h)

BACKWARD FIRST DERIVATIVE

2f(x0)-5f(x0-h)+4f(x0-2h)-1f(x0-3h)

BACKWARD 2ND DERIVATIVE

5/2f(x0)-9(x0-h)+12f(x0-2h)-7f(x0-3h)+3/2f(x0+4h)

BACKWARD 3RD DERIVATIVE

3f(x0)-14f(x0-h)+26f(x0-2h)-24f(x0-3h)+11f(x0-4h)-2f(x0-5h)

BACKWARD 4TH DERIVATIVE

1/12f(x0+2h)+2/3f(x0+h)-2/3f(x0-h)+1/12f(x0-2h)

CENTRAL 1ST DERIVATIVE

-1/12f(x0+2h)+4/3f(x0+h)-5/2f(x0)+4/3f(x0-h)+1/12f(x0-2h)

CENTRAL 2ND DERIVATIVE

-1/8f(x0+3h)+1f(x0+2h)-13/8f(x0+h)+13/8f(x0-h)-5/2f(x0-2h)+1/8f(x0-3h)

CENTRAL 3RD DERIVATIVE

-1/6f(x0+3h)+2f(x0+2h)-13/2f(x0+h)+28/3f(x0)-13/2f(x0-h)+3f(x0-2h)-1/6f(x0-3h)

CENTRAL 4TH DERIVATIVE