What happens with you graph a point based on a function and it's derivative
Hidden Label: left parenthesis, "f" prime left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis , "f" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis , right parenthesisf′x1,fx1
List of x values to approximate the new curves uses d as the step value.
10
Expression 11: "x" Subscript, "l" , Baseline equals left bracket, negative 10 , negative 10 plus "d" ...1 0 , right bracketxl=−10,−10+d...10
equals=
negative 10−10
negative 9.9 5−9.95
negative 9.9−9.9
negative 9.8 5−9.85
negative 9.8−9.8
negative 9.7 5−9.75
negative 9.7−9.7
negative 9.6 5−9.65
negative 9.6−9.6
negative 9.5 5−9.55
negative 9.5−9.5
negative 9.4 5−9.45
negative 9.4−9.4
negative 9.3 5−9.35
negative 9.3−9.3
401 element list
11
Curve Approximations
12
Hidden Label: left parenthesis, "f" left parenthesis, "x" Subscript, "l" , Baseline , right parenthesis , "f" prime left parenthesis, "x" Subscript, "l" , Baseline , right parenthesis , right parenthesisfxl,f′xl
Label
equals=
left parenthesis, negative 0.3 9 6 , negative 0.0 3 8 8 2 , right parenthesis−0.396,−0.03882
left parenthesis, negative 0.3 9 8 , negative 0.0 3 9 2 , right parenthesis−0.398,−0.0392
left parenthesis, negative 0.4 , negative 0.0 3 9 5 8 , right parenthesis−0.4,−0.03958
left parenthesis, negative 0.4 0 1 9 , negative 0.0 3 9 9 7 , right parenthesis−0.4019,−0.03997
left parenthesis, negative 0.4 0 4 , negative 0.0 4 0 3 7 , right parenthesis−0.404,−0.04037
left parenthesis, negative 0.4 0 6 , negative 0.0 4 0 7 7 , right parenthesis−0.406,−0.04077
left parenthesis, negative 0.4 0 8 , negative 0.0 4 1 1 8 , right parenthesis−0.408,−0.04118
left parenthesis, negative 0.4 1 0 1 , negative 0.0 4 1 5 9 , right parenthesis−0.4101,−0.04159
left parenthesis, negative 0.4 1 2 2 , negative 0.0 4 2 0 2 , right parenthesis−0.4122,−0.04202
left parenthesis, negative 0.4 1 4 3 , negative 0.0 4 2 4 4 , right parenthesis−0.4143,−0.04244
left parenthesis, negative 0.4 1 6 4 , negative 0.0 4 2 8 7 , right parenthesis−0.4164,−0.04287
left parenthesis, negative 0.4 1 8 6 , negative 0.0 4 3 3 1 , right parenthesis−0.4186,−0.04331
left parenthesis, negative 0.4 2 0 8 , negative 0.0 4 3 7 6 , right parenthesis−0.4208,−0.04376
left parenthesis, negative 0.4 2 3 , negative 0.0 4 4 2 1 , right parenthesis−0.423,−0.04421
left parenthesis, negative 0.4 2 5 2 , negative 0.0 4 4 6 7 , right parenthesis−0.4252,−0.04467
401 element list
13
Hidden Label: left parenthesis, "f" prime left parenthesis, "x" Subscript, "l" , Baseline , right parenthesis , "f" left parenthesis, "x" Subscript, "l" , Baseline , right parenthesis , right parenthesisf′xl,fxl
Label
equals=
left parenthesis, negative 0.0 3 8 8 2 , negative 0.3 9 6 , right parenthesis−0.03882,−0.396
left parenthesis, negative 0.0 3 9 2 , negative 0.3 9 8 , right parenthesis−0.0392,−0.398
left parenthesis, negative 0.0 3 9 5 8 , negative 0.4 , right parenthesis−0.03958,−0.4
left parenthesis, negative 0.0 3 9 9 7 , negative 0.4 0 1 9 , right parenthesis−0.03997,−0.4019
left parenthesis, negative 0.0 4 0 3 7 , negative 0.4 0 4 , right parenthesis−0.04037,−0.404
left parenthesis, negative 0.0 4 0 7 7 , negative 0.4 0 6 , right parenthesis−0.04077,−0.406
left parenthesis, negative 0.0 4 1 1 8 , negative 0.4 0 8 , right parenthesis−0.04118,−0.408
left parenthesis, negative 0.0 4 1 5 9 , negative 0.4 1 0 1 , right parenthesis−0.04159,−0.4101
left parenthesis, negative 0.0 4 2 0 2 , negative 0.4 1 2 2 , right parenthesis−0.04202,−0.4122
left parenthesis, negative 0.0 4 2 4 4 , negative 0.4 1 4 3 , right parenthesis−0.04244,−0.4143
left parenthesis, negative 0.0 4 2 8 7 , negative 0.4 1 6 4 , right parenthesis−0.04287,−0.4164
left parenthesis, negative 0.0 4 3 3 1 , negative 0.4 1 8 6 , right parenthesis−0.04331,−0.4186
left parenthesis, negative 0.0 4 3 7 6 , negative 0.4 2 0 8 , right parenthesis−0.04376,−0.4208
left parenthesis, negative 0.0 4 4 2 1 , negative 0.4 2 3 , right parenthesis−0.04421,−0.423
left parenthesis, negative 0.0 4 4 6 7 , negative 0.4 2 5 2 , right parenthesis−0.04467,−0.4252
