Use logarithmic differentiation to find the derivative of the functiony()3xy =)3y' =2Enhanced FeedbackPlease 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 expressionfor Third, multiply both sides byyto get the expression for y'. In most cases when logarithmic differentiation is used, in the second step, either theaProduct Rule or the Quotient Rule must be applied. Try to use properties of the logarithm function such as In(u") = n In(u) and InIn(a)- In(b) in order tosimplify the expression in each step.

Question
Asked Oct 12, 2019
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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.
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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.

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Expert Answer

Step 1

Take log on both sides and differentiate with respect to x,

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Зх y(x In y 3x Inx d (In y)3xIn-x dx

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Step 2

Differentiate using th...

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d (In y) = dx (3xln x dx 1 dy = 3x dx nvx)+lnJx^^(3x) y dr 1 dy 1 = 3x +3 In Vr 2x y d

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Math

Calculus

Derivative