   Chapter 4.7, Problem 9E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the soil (measured in appropriate units) is Y = k N 1 + N 2 where k is a positive constant. What nitrogen level gives the best yield?

To determine

To find: The nitrogen level which gives the best yield.

Explanation

Given:

The given model: Y=kN1+N2 , where k is positive constant.

Calculation:

Differentiate Y with respect to N.

dYdN=(1+N2)ddN(kN)(kN)ddN(1+N2)(1+N2)2=(1+N2)k(kN)2N<

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