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...
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![**Problem Statement:**
**Objective:** Find the derivative of \( y \) with respect to \( x \).
**Function:**
\[ y = (3x + 4)^x \]
---
**Derivative:**
\[
\frac{dy}{dx} = \text{[Enter your answer here]}
\]
**Explanation:**
In this problem, you are given a function \( y \) in terms of \( x \). The function is an expression of the form \((3x + 4)^x\), where the exponent is a variable as well. To find the derivative, you will need to use techniques such as logarithmic differentiation.
\( \boxed{\text{Follow the steps of logarithmic differentiation to solve the problem and input your final answer in the box provided.}} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc533774-2db2-4c40-ad62-e47c502b55d9%2F7f65f133-79a3-43a3-8b62-2e52c9e72780%2Ft13lamh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
**Objective:** Find the derivative of \( y \) with respect to \( x \).
**Function:**
\[ y = (3x + 4)^x \]
---
**Derivative:**
\[
\frac{dy}{dx} = \text{[Enter your answer here]}
\]
**Explanation:**
In this problem, you are given a function \( y \) in terms of \( x \). The function is an expression of the form \((3x + 4)^x\), where the exponent is a variable as well. To find the derivative, you will need to use techniques such as logarithmic differentiation.
\( \boxed{\text{Follow the steps of logarithmic differentiation to solve the problem and input your final answer in the box provided.}} \)
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