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The derivative & tangent line equations

AP.CALC: CHA‑2 (EU), CHA‑2.B (LO), CHA‑2.B.3 (EK), CHA‑2.B.4 (EK), CHA‑2.C (LO), CHA‑2.C.1 (EK)
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Problem

The tangent line to the graph of function g at the point left parenthesis, minus, 6, comma, minus, 2, right parenthesis passes through the point left parenthesis, 0, comma, 2, right parenthesis.
Find g, prime, left parenthesis, minus, 6, right parenthesis.
g, prime, left parenthesis, minus, 6, 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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