Texas Instruments TI-80 User Manual - Page 57

through the points, numerical derivative value as the slope of the secant line

Get Texas Instruments TI-80 PDF manuals and user guides View all Texas Instruments TI-80 manuals
Add to My Manuals
Save this manual to your list of manuals

Page 57 highlights

NDERIV( NDERIV( (numerical derivative, MATH MATH, item 6) returns an approximate derivative of an expression with respect to a specified variable, given the value at which to calculate the derivative, and H (optional; if none is specified, 1í-3 is used). NDERIV(expression,variable,value) or NDERIV(expression,variable,value,H) NDERIV( uses the symmetric difference quotient method (as shown in the formula below), which approximates the numerical derivative value as the slope of the secant line through the points: f(X+H)-f(X-H) f¢(x) = 2H As H gets smaller, the approximation usually gets more accurate. Because of the method used, NDERIV( can return a false derivative value at a nondifferentiable point. Math, Angle, and Test Operations 2-9

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 32
  • 33
  • 34
  • 35
  • 36
  • 37
  • 38
  • 39
  • 40
  • 41
  • 42
  • 43
  • 44
  • 45
  • 46
  • 47
  • 48
  • 49
  • 50
  • 51
  • 52
  • 53
  • 54
  • 55
  • 56
  • 57
  • 58
  • 59
  • 60
  • 61
  • 62
  • 63
  • 64
  • 65
  • 66
  • 67
  • 68
  • 69
  • 70
  • 71
  • 72
  • 73
  • 74
  • 75
  • 76
  • 77
  • 78
  • 79
  • 80
  • 81
  • 82
  • 83
  • 84
  • 85
  • 86
  • 87
  • 88
  • 89
  • 90
  • 91
  • 92
  • 93
  • 94
  • 95
  • 96
  • 97
  • 98
  • 99
  • 100
  • 101
  • 102
  • 103
  • 104
  • 105
  • 106
  • 107
  • 108
  • 109
  • 110
  • 111
  • 112
  • 113
  • 114
  • 115
  • 116
  • 117
  • 118
  • 119
  • 120
  • 121
  • 122
  • 123
  • 124
  • 125
  • 126
  • 127
  • 128
  • 129
  • 130
  • 131
  • 132
  • 133
  • 134
  • 135
  • 136
  • 137
  • 138
  • 139
  • 140
  • 141
  • 142
  • 143
  • 144
  • 145
  • 146
  • 147
  • 148
  • 149
  • 150
  • 151
  • 152
  • 153
  • 154
  • 155
  • 156
  • 157
  • 158
  • 159
  • 160
  • 161
  • 162
  • 163
  • 164
  • 165
  • 166
  • 167
  • 168
  • 169
  • 170
  • 171
  • 172
  • 173
  • 174
  • 175
  • 176
  • 177
  • 178
  • 179
  • 180
  • 181
  • 182
  • 183
  • 184
  • 185
  • 186
  • 187
  • 188
  • 189
  • 190
  • 191
  • 192
  • 193
  • 194
  • 195
  • 196
  • 197
  • 198
  • 199
  • 200
  • 201
  • 202
  • 203
  • 204
  • 205
  • 206
  • 207
  • 208
  • 209
  • 210
  • 211
  • 212
  • 213
  • 214
  • 215
  • 216
  • 217
  • 218
  • 219
  • 220
  • 221
  • 222
  • 223
  • 224
  • 225
  • 226
  • 227
  • 228
  • 229
  • 230
  • 231
  • 232
  • 233
  • 234
  • 235
Math, Angle, and Test Operations
2-9
NDERIV(
(numerical derivative,
MATH MATH
, item 6) returns
an approximate derivative of an expression with respect to a
specified variable, given the value at which to calculate the
derivative, and
H
(optional; if none is specified, 1
í
-
3 is used).
NDERIV(
expression
,
variable
,
value
)
or
NDERIV(
expression
,
variable
,
value
,
H
)
NDERIV(
uses the symmetric difference quotient method (as
shown in the formula below), which approximates the
numerical derivative value as the slope of the secant line
through the points:
f(
X
+
H
)–f(
X
–
H
)
f
¢
(
x
) =
2
H
As
H
gets smaller, the approximation usually gets more
accurate.
Because of the method used,
NDERIV(
can return a false
derivative value at a nondifferentiable point.
NDERIV(