Find the derivative of the logarithmic function. f(x) = In(-⁹x2) 9x Step 1 Rewrite the given function, f(x) = In Thus, f(x) = In 9x = In (9 X+ 2. 9x X + 2 Apply the logarithmic property, In(x + = In a In b.

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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Find the derivative of the logarithmic function.
9x
In(-⁹x2)
+
Step 1
f(x) = In
Rewrite the given function, f(x) = In
Thus,
9x
f(x) = In(⁹x2₂) = In (9
X +
9x
X + 2
Apply the logarithmic property, In
n ( ² ) =
) - In(x +
= In a
In b.
Transcribed Image Text:Find the derivative of the logarithmic function. 9x In(-⁹x2) + Step 1 f(x) = In Rewrite the given function, f(x) = In Thus, 9x f(x) = In(⁹x2₂) = In (9 X + 9x X + 2 Apply the logarithmic property, In n ( ² ) = ) - In(x + = In a In b.
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