(a) Find the derivative of f (a) = (a2 + 6) (2x – 5) 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) = (22 + 6) (2a – 5) by using the product rule. Let g (z) = a + 6 and h (x) = 2x – 5. %3D 9' (z) = h' (z) = s' (z) = (c) Are the expressions for the derivative in (a) and (b) the same?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Find the derivative and answer the attached additional questions.

(a) Find the derivative of f (x) = (x2 + 6) (2æ – 5) 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' (프) =D
(b) Find the derivative of f (x) = (22 + 6) (2x – 5) by using the product rule. Let g (æ) = a? + 6 and h (z) = 2a – 5.
%3D
= (x) ,6
N (포) =D
s' (z) =
(c) Are the expressions for the derivative in (a) and (b) the same?
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Transcribed Image Text:(a) Find the derivative of f (x) = (x2 + 6) (2æ – 5) 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' (프) =D (b) Find the derivative of f (x) = (22 + 6) (2x – 5) by using the product rule. Let g (æ) = a? + 6 and h (z) = 2a – 5. %3D = (x) ,6 N (포) =D s' (z) = (c) Are the expressions for the derivative in (a) and (b) the same? Click for List
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