Let f(x) = ex-x. (a) Find the critical values of f. Classify each of these values as a relative minimum, a relative maximum, or neither a minimum nor a maximum. Justify your conclusion. (b) Write the equation of the line tangent to the graph of fat the point where x = 1. (c) Given f(x)dx = f(a), find a.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
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Let f(x) = ex-x.
(a) Find the critical values of f. Classify each of these values
as a relative minimum, a relative maximum, or neither a
minimum nor a maximum. Justify your conclusion.
(b) Write the equation of the line tangent to the graph of fat
the point where x = 1.
(c) Given f(x)dx = f(a), find a.
Transcribed Image Text:Let f(x) = ex-x. (a) Find the critical values of f. Classify each of these values as a relative minimum, a relative maximum, or neither a minimum nor a maximum. Justify your conclusion. (b) Write the equation of the line tangent to the graph of fat the point where x = 1. (c) Given f(x)dx = f(a), find a.
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