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Course: Differential Calculus > Unit 2

Lesson 1: Average vs. instantaneous rate of change
Math
Differential Calculus
Derivatives: definition and basic rules
Average vs. instantaneous rate of change
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The derivative & tangent line equations

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Problem

The tangent line to the graph of function g at the point (−6,−2) passes through the point (0,2).
Find g′(−6).
g′(−6)=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi