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...
Related questions
Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc84364e-ef46-429b-9d16-57e28333362b%2Fb8a2fe57-2e66-4375-9688-e3306d105509%2F5i8tgwn_processed.png&w=3840&q=75)
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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This question is based on Derivative of function.
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