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The graph of function f(x) is shown below. At which value of is the derivative of the function equal to 2?

The graph of function f(x) is shown below. At which value of is the derivative of the function equal to 2?

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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The graph of function \( f(x) \) is shown below. At which value of \( x \) is the derivative of the function equal to 2? The graph depicts a parabola opening upwards with a vertex around the point (1, -3). The graph passes through points approximately at: - \((-3, -2)\) - \((-2, -5)\) - \((-1, -6)\) - \((0, -5)\) - \((1, -4)\) - \((2, -3)\) - \((3, -2)\) - \((4, 1)\) These points suggest the parabola is symmetric around the vertical line through \( x = 1 \). Select the correct answer below: - \( x = -1 \) - \( x = 0 \) - \( x = 1 \) - \( x = 2 \) - \( x = 3 \)
Transcribed Image Text:The graph of function \( f(x) \) is shown below. At which value of \( x \) is the derivative of the function equal to 2? The graph depicts a parabola opening upwards with a vertex around the point (1, -3). The graph passes through points approximately at: - \((-3, -2)\) - \((-2, -5)\) - \((-1, -6)\) - \((0, -5)\) - \((1, -4)\) - \((2, -3)\) - \((3, -2)\) - \((4, 1)\) These points suggest the parabola is symmetric around the vertical line through \( x = 1 \). Select the correct answer below: - \( x = -1 \) - \( x = 0 \) - \( x = 1 \) - \( x = 2 \) - \( x = 3 \)
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