Let f be a function such that f(1)=2. At each point (x,y) on the graph of f, the slope is given by dr = 5xy – x? – y? – 5. Which of the following statements is true? f has a relative maximum at x-1. f has a relative minimum at x=1. f has neither a relative minimum nor a relative maximum at x-1. There is insufficient information to determine whether f has a relative minimum, a relative maximum, or neither at x-1. ||

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let f be a function such that f(1)=2. At each point (x,y) on the graph of f, the slope is given by
5æy – a? – y? – 5. Which
|
dx
of the following statements is true?
f has a relative maximum at x-1.
f has a relative minimum at x=D1.
f has neither a relative minimum nor a relative maximum at x-1.
There is insufficient information to determine whether f has a relative minimum, a relative maximum, or neither at x-1.
Transcribed Image Text:dy Let f be a function such that f(1)=2. At each point (x,y) on the graph of f, the slope is given by 5æy – a? – y? – 5. Which | dx of the following statements is true? f has a relative maximum at x-1. f has a relative minimum at x=D1. f has neither a relative minimum nor a relative maximum at x-1. There is insufficient information to determine whether f has a relative minimum, a relative maximum, or neither at x-1.
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