Example 8 Video Example ) Differentiate y = x7Vx. Solution 1 Since both the base and the exponent are variable, we use logarithmic differentiation. In(y) = In(x7vx) = 7Vx In(x) y' + (In(x)) · = 7 In(x) = y - Solution 2 Another method is to write x7Vx = eln(x) 7Vx xp xp d dx (as in Solution 1) Need Help? Read It
Example 8 Video Example ) Differentiate y = x7Vx. Solution 1 Since both the base and the exponent are variable, we use logarithmic differentiation. In(y) = In(x7vx) = 7Vx In(x) y' + (In(x)) · = 7 In(x) = y - Solution 2 Another method is to write x7Vx = eln(x) 7Vx xp xp d dx (as in Solution 1) Need Help? Read It
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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