Mean Value Theorem Consider the graph of the function (see figure). (a) Find the

Chapter 4, Problem 38

(choose chapter or problem)

Mean Value Theorem Consider the graph of the function \(f(x)=x^{2}-x-12\) (see figure on next page).

(a) Find the equation of the secant line joining the points (-2,-6) and (4, 0).

(b)Use the Mean Value Theorem to determine a point c in the interval (-2,4) such that the tangent line at c is parallel to the secant line.

(c) Find the equation of the tangent line through c.

(d) Use a graphing utility to graph f. the secant line, and the tangent line.

Text Transcription:

f(x)=x^{2}-x-12

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