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Course: AP®︎ Calculus AB (2017 edition) > Unit 2

Lesson 3: Secant lines & average rate of change with arbitrary points
Math
AP®︎ Calculus AB (2017 edition)
Derivatives introduction
Secant lines & average rate of change with arbitrary points
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Secant lines & average rate of change with arbitrary points (with simplification)

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Problem

A secant line intersects the graph of f(x)=−3x2+1 at two points with x-coordinates 3 and 3+h, where h≠0.
What is the slope of the secant line in terms of h ?
Your answer must be fully expanded and simplified.