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Consider f(x) = xe12x. a Show that f0 (x) = e12x(1 2x). b Find the point on the graph of

Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa ISBN: 9781921972089 446

Solution for problem 21 Chapter 25

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Problem 21

Consider f(x) = xe12x. a Show that f0 (x) = e12x(1 2x). b Find the point on the graph of y = f(x) where the tangent is horizontal. c Find values of x for which: i f(x) > 0 ii f0 (x) > 0

Step-by-Step Solution:
Step 1 of 3

L30 - 6 ex. Suppose that the slope of the tangent line to the curve √ x + 3x 2 y = f(x)ataypiti . x If the curve passes through the point (1,4), find f(x).

Step 2 of 3

Chapter 25, Problem 21 is Solved
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Textbook: Mathematics for the International Student: Mathematics SL
Edition: 3
Author: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa
ISBN: 9781921972089

Mathematics for the International Student: Mathematics SL was written by and is associated to the ISBN: 9781921972089. Since the solution to 21 from 25 chapter was answered, more than 244 students have viewed the full step-by-step answer. The answer to “Consider f(x) = xe12x. a Show that f0 (x) = e12x(1 2x). b Find the point on the graph of y = f(x) where the tangent is horizontal. c Find values of x for which: i f(x) > 0 ii f0 (x) > 0” is broken down into a number of easy to follow steps, and 44 words. This textbook survival guide was created for the textbook: Mathematics for the International Student: Mathematics SL, edition: 3. The full step-by-step solution to problem: 21 from chapter: 25 was answered by , our top Math solution expert on 03/15/18, 06:04PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 25 chapters, and 453 solutions.

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Consider f(x) = xe12x. a Show that f0 (x) = e12x(1 2x). b Find the point on the graph of