Answer Key
811
⎛ ⎝ f −1
⎞ ⎠ ′(1)~2
b.
263 . a.
b. ⎞ ⎠ ′(1)~ −1/ 3 265 . a. 6, b. x = f −1 ( y ) = ⎛ ⎛ ⎝ f −1 ⎝ y +3 2 1 6 267 . a. 1, b. x = f −1 ( y ) = sin −1 y , c. 1 269 . 1 5 271 . 1 3 273 . 1 275 . a. 4, b. y =4 x 277 . a. − 1 96 , b. y = − 1 13 x + 18 13 279 . 2 x 1− x 4 281 . −1 1− x 2 283 . 3 ⎛ ⎝ 1+tan −1 x ⎞ ⎠ 1/3 , c. ⎞ ⎠ 2
1+ x 2
−1
2
⎛ ⎝ 1+ x 2 ⎛ ⎝ 5− x 2
⎞ ⎠ ⎛ ⎝ tan −1 x ⎞ ⎠ ⎞ ⎠ 4− x 2 x
285 .
287 .
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