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Consider the graph of f', the derivative of f, that is given below. Use it to answer the following questions. 3+ a.) Where does f(x) have a local maximum? Explain how you know. f'(x) 2- 1 W 0 -5 -4 -3 -2 -1 2 3 4 5 -1+ 2₂ 3+ b.) Where does f(x) have a local minimum? -4+ -5- c.) Where is f concave up? Explain how you know. Answer in interval notation. d.) Which is larger, f(-2) or f(-1), or is there not enough information to tell? +X 6

Consider the graph of f', the derivative of f, that is given below. Use it to answer the following questions. 3+ a.) Where does f(x) have a local maximum? Explain how you know. f'(x) 2- 1 W 0 -5 -4 -3 -2 -1 2 3 4 5 -1+ 2₂ 3+ b.) Where does f(x) have a local minimum? -4+ -5- c.) Where is f concave up? Explain how you know. Answer in interval notation. d.) Which is larger, f(-2) or f(-1), or is there not enough information to tell? +X 6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the graph of f', the derivative of f, that is given below. Use it to answer the following questions. a.) Where does f(x) have a local maximum? Explain how you know. b.) Where does f(x) have a local minimum? -5- c.) Where is f concave up? Explain how you know. Answer in interval notation. d.) Which is larger, f(-2) or f(-1), or is there not enough information to tell? 8. Use Newton's method with the specified initial approximation x₁ to find x4, the fourth approximation to the root of the equation x³ - 4x² + 5 = 0, x₁ = 4. Show each approximation along the way. جتنا -5 -4 -3 -2 -1 2+ 1 0 -1+ 2 -4+ 2 f'(x) +X 4 5 6
Transcribed Image Text:Consider the graph of f', the derivative of f, that is given below. Use it to answer the following questions. a.) Where does f(x) have a local maximum? Explain how you know. b.) Where does f(x) have a local minimum? -5- c.) Where is f concave up? Explain how you know. Answer in interval notation. d.) Which is larger, f(-2) or f(-1), or is there not enough information to tell? 8. Use Newton's method with the specified initial approximation x₁ to find x4, the fourth approximation to the root of the equation x³ - 4x² + 5 = 0, x₁ = 4. Show each approximation along the way. جتنا -5 -4 -3 -2 -1 2+ 1 0 -1+ 2 -4+ 2 f'(x) +X 4 5 6
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