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Find the derivative. Simplify completely. 1. f(x) = 4x³ cos x 2. g(x): Sx-4 In x 3. у sin x 4. f(x) = 3x²e*

Find the derivative. Simplify completely. 1. f(x) = 4x³ cos x 2. g(x): Sx-4 In x 3. у sin x 4. f(x) = 3x²e*

Calculus: Early Transcendentals
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
**2.6 Product and Quotient Rules Form A** **Name** _________________________________________ **Date** _______________ **Period** _______________ **Find the derivative. Simplify completely.** 1. \( f(x) = 4x^3 \cdot \cos x \) 2. \( g(x) = \frac{5x - 4}{\sqrt{x}} \) 3. \( y = \frac{\ln x^3}{\sin x} \) 4. \( f(x) = 3x^2 e^x \) --- Note: This document provides exercises to practice finding derivatives using product and quotient rules. Each problem should be simplified completely as part of the solution process.
Transcribed Image Text:**2.6 Product and Quotient Rules Form A** **Name** _________________________________________ **Date** _______________ **Period** _______________ **Find the derivative. Simplify completely.** 1. \( f(x) = 4x^3 \cdot \cos x \) 2. \( g(x) = \frac{5x - 4}{\sqrt{x}} \) 3. \( y = \frac{\ln x^3}{\sin x} \) 4. \( f(x) = 3x^2 e^x \) --- Note: This document provides exercises to practice finding derivatives using product and quotient rules. Each problem should be simplified completely as part of the solution process.
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