Find the derivative of the function f(x) = 2 In(|x - ex|) f'(x) =

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Find the derivative of the function.
f(x) = 2 In(|x – eX|)
f'(x) =
Transcribed Image Text:Find the derivative of the function. f(x) = 2 In(|x – eX|) f'(x) =
Expert Solution
Step 1: Derivative formula:
  • fraction numerator d open parentheses ln open vertical bar x close vertical bar close parentheses over denominator d x end fraction space equals 1 over x
  • fraction numerator d open parentheses e to the power of x close parentheses over denominator d x end fraction space equals space e to the power of x
  • fraction numerator d open parentheses x to the power of n close parentheses over denominator d x end fraction space equals n x to the power of n minus 1 end exponent
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