Expression 11: "f" Subscript, 4 , Baseline left parenthesis, "x" , right parenthesis equals "h" Subscript, 4 , Baseline left parenthesis, "x" , right parenthesisf4x=h4x
11
Expression 12: "f" Subscript, 5 , Baseline left parenthesis, "x" , right parenthesis equals "h" Subscript, 5 , Baseline left parenthesis, "x" , right parenthesisf5x=h5x
12
Expression 13:
13
Nevermind the man behind the curtain!!
14
Expression 15: "a" equals 16a=16
00
1616
15
Black dots are values of function and assorted derivatives.
16
"x"x
"f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesisf1x
"f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesisf2x
"f" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesisf3x
"f" Subscript, 4 , Baseline left parenthesis, "x" , right parenthesisf4x
"f" Subscript, 5 , Baseline left parenthesis, "x" , right parenthesisf5x
"a"a
r1c2: negative 3360−3360
r1c3: negative 450−450
r1c4: negative 16635−16635
r1c5: negative 61360−61360
r1c6: negative 30−30
r1c7:
r2c2:
r2c3:
r2c4:
r2c5:
r2c6:
r2c7:
17
Expression 18: "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals "f" prime left parenthesis, "x" , right parenthesisf1x=f′x
18
Expression 19: "f" Subscript, 2 , Baseline left parenthesis, "x" , right parenthesis equals "f" prime prime left parenthesis, "x" , right parenthesisf2x=f′′x
19
Expression 20: "f" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesis equals "f" left parenthesis, "x" , right parenthesisf3x=fx
20
Expression 21: "h" Subscript, 5 , Baseline left parenthesis, "x" , right parenthesis equals "f" prime prime prime left parenthesis, "x" , right parenthesish5x=f′′′x
21
Expression 22: "h" Subscript, 4 , Baseline left parenthesis, "x" , right parenthesis equals Start integral from 0 to "x" , end integral, "f" left parenthesis, "t" , right parenthesis "d" "t"h4x=∫x0ftdt
