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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6.6 #1
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![**Topic: Calculus - Derivative Calculation**
**Problem Statement:**
Find \( dy \) for the given values of \( x \) and \( \Delta x \).
\[ y = 3x^3 - 2x; \quad x = -2; \quad \Delta x = 0.5 \]
**Question:**
What is the derivative of \( y \)?
\[
\frac{dy}{dx} = \boxed{ \ }
\]
**Explanation:**
In this problem, you are given a function \( y = 3x^3 - 2x \) and asked to find its derivative. The values provided are \( x = -2 \) and \( \Delta x = 0.5 \). To solve this, differentiate the given function with respect to \( x \) to find \( \frac{dy}{dx} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff3158bb-c7a6-4ac4-bdef-e27086080d78%2F3ba70c08-4232-4b8a-8435-8be40ed75638%2Famv6u2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Topic: Calculus - Derivative Calculation**
**Problem Statement:**
Find \( dy \) for the given values of \( x \) and \( \Delta x \).
\[ y = 3x^3 - 2x; \quad x = -2; \quad \Delta x = 0.5 \]
**Question:**
What is the derivative of \( y \)?
\[
\frac{dy}{dx} = \boxed{ \ }
\]
**Explanation:**
In this problem, you are given a function \( y = 3x^3 - 2x \) and asked to find its derivative. The values provided are \( x = -2 \) and \( \Delta x = 0.5 \). To solve this, differentiate the given function with respect to \( x \) to find \( \frac{dy}{dx} \).
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