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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 4

Lesson 4: Introduction to related rates
Math
AP®︎/College Calculus AB
Contextual applications of differentiation
Introduction to related rates
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Differentiate related functions

AP.CALC: CHA‑3 (EU), CHA‑3.D (LO), CHA‑3.D.1 (EK), CHA‑3.D.2 (EK)
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Problem

The differentiable functions x and y are related by the following equation:
y, equals, 2, x, squared, minus, x
Also, start fraction, d, x, divided by, d, t, end fraction, equals, minus, 0, point, 1.
Find start fraction, d, y, divided by, d, t, end fraction when 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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