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AP®︎ Calculus BC (2017 edition)

Unit 4: Lesson 3

Implicit differentiation
Math
AP®︎ Calculus BC (2017 edition)
Advanced derivatives
Implicit differentiation
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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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