ral Log Functions 17. Derivatives of Natural Log Functions Question 6x²+5 If f(x) = In x+5 ), find f'(x). 4/5 Select the correct answer below: f'(x) = 12x 62+5 5x 6r+5 f'(x) = 12 5x O f) = - 12x 6x-+5 5x 12x 6x-45 + O r) = 5x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 44E
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Question
ral Log Functions
17. Derivatives of Natural Log Functions
Question
6x²+5
If f(x) = In x+5
), find f'(x).
4/5
Select the correct answer below:
f'(x) =
12x
62+5
5x
6r+5
f'(x) = 12
5x
O f) =
-
12x
6x-+5
5x
12x
6x-45
+
O r) =
5x
Transcribed Image Text:ral Log Functions 17. Derivatives of Natural Log Functions Question 6x²+5 If f(x) = In x+5 ), find f'(x). 4/5 Select the correct answer below: f'(x) = 12x 62+5 5x 6r+5 f'(x) = 12 5x O f) = - 12x 6x-+5 5x 12x 6x-45 + O r) = 5x
Expert Solution
Step 1

To find the derivative of the given logarithmic function.

Step 2

Given information:

Calculus homework question answer, step 2, image 1

Step 3

Derivative formulas used:

1). Chain rule.

Calculus homework question answer, step 3, image 1

Step 4

Calculation:

differentiate the function with respect to x.

Calculus homework question answer, step 4, image 1

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