Use logarithmic differentiation to find the derivative of the function y() 3x y = ) 3 y' = 2 Enhanced Feedback Please try again. First, take the logarithm of both sides to get an expression for In(y). Second, differentiate both sides with respect to x to obtain an expression for Third, multiply both sides by y to get the expression for y'. In most cases when logarithmic differentiation is used, in the second step, either the a Product Rule or the Quotient Rule must be applied. Try to use properties of the logarithm function such as In(u") = n In(u) and In In(a)- In(b) in order to simplify the expression in each step.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Use logarithmic differentiation to find the derivative of the function
y()
3x
y =
)
3
y' =
2
Enhanced Feedback
Please try again. First, take the logarithm of both sides to get an expression for In(y). Second, differentiate both sides with respect to x to obtain an expression
for Third, multiply both sides by
y
to get the expression for y'. In most cases when logarithmic differentiation is used, in the second step, either the
a
Product Rule or the Quotient Rule must be applied. Try to use properties of the logarithm function such as In(u") = n In(u) and In
In(a)- In(b) in order to
simplify the expression in each step.
Transcribed Image Text:Use logarithmic differentiation to find the derivative of the function y() 3x y = ) 3 y' = 2 Enhanced Feedback Please try again. First, take the logarithm of both sides to get an expression for In(y). Second, differentiate both sides with respect to x to obtain an expression for Third, multiply both sides by y to get the expression for y'. In most cases when logarithmic differentiation is used, in the second step, either the a Product Rule or the Quotient Rule must be applied. Try to use properties of the logarithm function such as In(u") = n In(u) and In In(a)- In(b) in order to simplify the expression in each step.
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