Exercise 6 Apply the quotient rule to find a derivative Assume that f (x) and g(x) are both differentiable functions for all x. Find the derivative of h(x) = = 3.f(x) g(x) + 2
Exercise 6 Apply the quotient rule to find a derivative Assume that f (x) and g(x) are both differentiable functions for all x. Find the derivative of h(x) = = 3.f(x) g(x) + 2
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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![**Exercise 6**
**Objective:** Apply the quotient rule to find a derivative.
**Task:** Assume that \( f(x) \) and \( g(x) \) are both differentiable functions for all \( x \). Find the derivative of
\[
h(x) = \frac{3 \cdot f(x)}{g(x) + 2}.
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4979c4fb-69aa-4561-8ea9-69969c4f32d0%2Fce77899d-2254-4d66-9bc5-8b9d28ae7778%2Fmsitktb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise 6**
**Objective:** Apply the quotient rule to find a derivative.
**Task:** Assume that \( f(x) \) and \( g(x) \) are both differentiable functions for all \( x \). Find the derivative of
\[
h(x) = \frac{3 \cdot f(x)}{g(x) + 2}.
\]
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