(a) Find the derivative of f (x) = (x² + 2) (4x − 3) by first expanding the polynomials. Enter the fully simplified expression for f (x) after expanding the polynomials. f(x) = Enter the derivative of f (x). ƒ' (x) = (b) Find the derivative of f (x) = (x² + 2) (4x − 3) by using the product rule. Let g (x) = x² + 2 and h(x) = 4x - 3. g' (z) = h' (x) = ƒ'(x) = = (c) Are the expressions for the derivative in (a) and (b) the same? Click for List

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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(a) Find the derivative of f (x) = (x² + 2)
+2) (4x − 3) by first expanding the polynomials.
Enter the fully simplified expression for f (x) after expanding the polynomials.
f(x) =
Enter the derivative of f (x).
f'(x) =
(b) Find the derivative of f (x) = (x² + 2) (4x − 3) by using the product rule. Let g (x) = x² + 2 and
-
h(x) = 4x - 3.
g'(x) =
h' (x) =
ƒ' (x) =
(c) Are the expressions for the derivative in (a) and (b) the same?
Click for List
Transcribed Image Text:(a) Find the derivative of f (x) = (x² + 2) +2) (4x − 3) by first expanding the polynomials. Enter the fully simplified expression for f (x) after expanding the polynomials. f(x) = Enter the derivative of f (x). f'(x) = (b) Find the derivative of f (x) = (x² + 2) (4x − 3) by using the product rule. Let g (x) = x² + 2 and - h(x) = 4x - 3. g'(x) = h' (x) = ƒ' (x) = (c) Are the expressions for the derivative in (a) and (b) the same? Click for List
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