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Concept explainers
Area functions and the Fundamental Theorem Consider the function
and its graph shown below.
Let
56.
- a. Evaluate G(−1) and G(1).
- b. Use the Fundamental Theorem to find an expression for G′(x), for −2 ≤ x ≤ 0.
- c. Use the Fundamental Theorem to find an expression for G′(x), for 0 ≤ x ≤ 2.
- d. Evaluate G′(0) and G′(1). Interpret these values.
- e. Find a constant C such that F(x) = G(x) + C.
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Chapter 5 Solutions
Calculus: Early Transcendentals, 2nd Edition
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage