Explanation Given information: The product of two positive numbers is 784. Calculation: The product of two positive numbers is 784. (Given) ⇒ x y = 784 Its sum is denoted by S ( x ) . ⇒ S ( x ) = x + y S ( x ) = x + 784 x Differentiating with respect to ‘x’, we get S ' ( x ) = 1 − 784 x 2 To obtain the critical point, put S ' ( x ) = 0 . ⇒ 1 − 784 x 2 = 0 ⇒ 784 x 2 = 1 ⇒ x 2 = 784 ⇒ x = ± 28 Since x is a positive value, we ignore the negative sign Thus, x = 28

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 4.3, Problem 36P

To determine

To find:

The minimum value of the sum of two numbers.

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Chapter 4.3, Problem 35P

Chapter 4.3, Problem 37P

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Chapter 4 Solutions

APPLIED CALCULUS-WILEYPLUS

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The minimum value of the sum of two numbers.

Solution Summary: The author explains that the minimum value of the sum of two numbers is 56. The sum is denoted by S(x).

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To find: The minimum value of the sum of two numbers.

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Chapter 4 Solutions

To find:

The minimum value of the sum of two numbers.