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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Question
4.1 8
![**Title:** Finding the Derivative of a Function
**Problem Statement:**
Find the derivative of the function:
\[
y = \frac{-12}{\sqrt[4]{x}}
\]
**Solution:**
Calculate \(\frac{dy}{dx}\):
\[
\text{Write your solution here.}
\]
**Explanation:**
This problem requires taking the derivative of a fractional function with a root in the denominator. To solve this, you may need to express \(\sqrt[4]{x}\) as \(x^{1/4}\) and use the rules of differentiation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f6c0ebf-ee3b-401e-8a70-1ebee06133a3%2Ffb4f9126-16e1-45c9-9519-e0683ea70817%2Fvxeodst_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title:** Finding the Derivative of a Function
**Problem Statement:**
Find the derivative of the function:
\[
y = \frac{-12}{\sqrt[4]{x}}
\]
**Solution:**
Calculate \(\frac{dy}{dx}\):
\[
\text{Write your solution here.}
\]
**Explanation:**
This problem requires taking the derivative of a fractional function with a root in the denominator. To solve this, you may need to express \(\sqrt[4]{x}\) as \(x^{1/4}\) and use the rules of differentiation.
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