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Find the indicated derivatives for #'s 1-6: 1. y'for y = 4In x 2. f'(x)for f(x) = In x³. 3. a. f'(x) for f(x) = (2x)(e*)_ %3D

Find the indicated derivatives for #'s 1-6: 1. y'for y = 4In x 2. f'(x)for f(x) = In x³. 3. a. f'(x) for f(x) = (2x)(e*)_ %3D

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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Find the indicated derivatives for #'s 1-6: 1. y'for y = 4In x_ 2. f'(x)for f(x) = In x³_ 3. a. f' (x) for f(x) = (2x)(e*). b. For what value(s) of x will the tangent line be horizontal? c. Write the equation of the tangent line to f(x) = 2xe* when x = 1 using your answer from #3a expressing answer as y=mx+b_form. Зx2-12х3 4. y' for y 3x2 2х+1 5. y' for y : 3х-4
Transcribed Image Text:Find the indicated derivatives for #'s 1-6: 1. y'for y = 4In x_ 2. f'(x)for f(x) = In x³_ 3. a. f' (x) for f(x) = (2x)(e*). b. For what value(s) of x will the tangent line be horizontal? c. Write the equation of the tangent line to f(x) = 2xe* when x = 1 using your answer from #3a expressing answer as y=mx+b_form. Зx2-12х3 4. y' for y 3x2 2х+1 5. y' for y : 3х-4
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