Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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What is the correct answer? Mine is wrong

**Problem Statement** Let \( f(x) = 4x^{2x} \). Find \( f'(3) \). **Entered Solution** 64255.3 **Answer Preview** The solution for \( f'(3) \) is provided as: \[ 42 \cdot 3^6 (\ln(3) + 1) \] **Input Field** The expression for calculating \( f'(3) \) is given by: \[ f'(3) = (42(3)^6)(\ln(3) + 1) \] In this problem, you are tasked with finding the derivative of the function \( f(x) = 4x^{2x} \) at the point \( x = 3 \). The solution involves applying differentiation techniques relevant to exponential functions and then substituting \( x = 3 \) to find the specific derivative value. The entered numerical answer is 64255.3, while the expression provided as an answer preview offers an algebraic representation.
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Transcribed Image Text:**Problem Statement** Let \( f(x) = 4x^{2x} \). Find \( f'(3) \). **Entered Solution** 64255.3 **Answer Preview** The solution for \( f'(3) \) is provided as: \[ 42 \cdot 3^6 (\ln(3) + 1) \] **Input Field** The expression for calculating \( f'(3) \) is given by: \[ f'(3) = (42(3)^6)(\ln(3) + 1) \] In this problem, you are tasked with finding the derivative of the function \( f(x) = 4x^{2x} \) at the point \( x = 3 \). The solution involves applying differentiation techniques relevant to exponential functions and then substituting \( x = 3 \) to find the specific derivative value. The entered numerical answer is 64255.3, while the expression provided as an answer preview offers an algebraic representation.
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