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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 2

Lesson 10: The quotient rule
Math
AP®︎/College Calculus AB
Differentiation: definition and basic derivative rules
The quotient rule
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Quotient rule with tables

AP.CALC: FUN‑3 (EU), FUN‑3.B (LO), FUN‑3.B.2 (EK)
Google Classroom
You might need: Calculator

Problem

The following table lists the values of functions f and h, and of their derivatives, f, prime and h, prime, for x, equals, minus, 3.
xf, left parenthesis, x, right parenthesish, left parenthesis, x, right parenthesisf, prime, left parenthesis, x, right parenthesish, prime, left parenthesis, x, right parenthesis
minus, 38minus, 525
Evaluate start fraction, d, divided by, d, x, end fraction, open bracket, start fraction, f, left parenthesis, x, right parenthesis, divided by, h, left parenthesis, x, right parenthesis, end fraction, close bracket at x, equals, minus, 3.
  • 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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