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.
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.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.3: Logarithmic Functions
Problem 6E: The natural logarithmic function f(x)= In (x1) has the ____________ asymptote x =____.
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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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