
Concept explainers
To calculate: The derivative of the function

Answer to Problem 44E
The derivative of the function is
Explanation of Solution
Given information:
The function
Formula used:
Thechain rule for
Logarithmic rule for differentiation is
Laws of logarithms which are expressed as
Product rule for differentiation is
Calculation:
Consider the function
Take both sides, we get,
Recall the laws of logarithm which are expressed as,
Apply them,
Differentiate both sides with respect to x ,
Recall that logarithmic rule for differentiation is
Also apply the product rule in differentiation of the terms of the expression.
Apply it. Also observe that y is a function of x,
Isolate the value of
Thus, the derivative of the function is
Chapter 3 Solutions
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