1-3 Ave ROC | Desmos

Expression 6: "y" minus "f" left parenthesis, "a" , right parenthesis equals StartFraction, "f" left parenthesis, "a" plus "h" , right parenthesis minus "f" left parenthesis, "a" , right parenthesis Over "h" , EndFraction left parenthesis, "x" minus "a" , right parenthesis

6

Expression 7: "c" equals StartFraction, "f" left parenthesis, "a" plus "h" , right parenthesis minus "f" left parenthesis, "a" , right parenthesis Over "h" , EndFraction

equals

0.8 4 1 4 7 0 9 8 4 8 0 8

7

Average ROC = ${c} left parenthesis, "a" , 3.1 , right parenthesis

Label:

equals

left parenthesis, 0 , 3.1 , right parenthesis

8

Expression 9: "m" equals "f" prime left parenthesis, "a" , right parenthesis

equals

1

9

Expression 10: "y" minus "f" left parenthesis, "a" , right parenthesis equals "m" left parenthesis, "x" minus "a" , right parenthesis

10

f'(${a})=${m} left parenthesis, "a" , 2.8 , right parenthesis

Label:

equals

left parenthesis, 0 , 2.8 , right parenthesis

11

Expression 12:

12

13

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Average ROC = 0.84147098

f'(0)=1

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