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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 3

Lesson 4: Differentiating inverse functions
Math
AP®︎/College Calculus AB
Differentiation: composite, implicit, and inverse functions
Differentiating inverse functions
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Derivatives of inverse functions

Google Classroom

Problem

Let g and h be inverse functions.
The following table lists a few values of g, h, and h, prime.
xg, left parenthesis, x, right parenthesish, left parenthesis, x, right parenthesish, prime, left parenthesis, x, right parenthesis
minus, 270minus, 1
0minus, 253
g, prime, left parenthesis, 0, right parenthesis, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
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