Function, First Derivative, Second Derivative | Desmos

Expression 7: "h" left parenthesis, "x" , right parenthesis equals "f" prime prime left parenthesis, "x" , right parenthesis

7

Expression 8: "a" equals 2.2 2

negative 10

10

8

Tangent Line to function

9

Expression 10: "k" left parenthesis, "x" , right parenthesis equals "f" left parenthesis, "a" , right parenthesis plus "f" prime left parenthesis, "a" , right parenthesis left parenthesis, "x" minus "a" , right parenthesis

10

Points

11

Label: left parenthesis, "a" , "f" left parenthesis, "a" , right parenthesis , right parenthesis

Label:

equals

left parenthesis, 2.2 2 , 4.9 2 8 4 , right parenthesis

15

Label: left parenthesis, "a" , "f" prime left parenthesis, "a" , right parenthesis , right parenthesis

Label:

equals

left parenthesis, 2.2 2 , 4.4 4 , right parenthesis

16

Label: left parenthesis, "a" , "f" prime prime left parenthesis, "a" , right parenthesis , right parenthesis

Label:

equals

left parenthesis, 2.2 2 , 2 , right parenthesis

17

18

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The point/value/position

1st derivative/slope/velocity

2nd derivative/slope of slope/acceleration

left parenthesis, 2.2 2 , 4.9 2 8 4 , right parenthesis

left parenthesis, 2.2 2 , 4.4 4 , right parenthesis

left parenthesis, 2.2 2 , 2 , right parenthesis

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