Find the derivitive of f(x)=(x^2+5)(2x-7) by first expanding the polynomials. b.) Find the derivitive of f(x)=(x^2+5)(2x-7) by using the product rule. Let g(x) = x^2+5 and h(x) = 2x-7

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 36E
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Find the derivitive of f(x)=(x^2+5)(2x-7) by first expanding the polynomials. 

 

b.) Find the derivitive of f(x)=(x^2+5)(2x-7) by using the product rule. Let g(x) = x^2+5 and h(x) = 2x-7

(a) Find the derivative of f (x) =
(z² +
+ 5) (2x – 7) 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' (2) =
(b) Find the derivative of f (x) = (a² + 5) (2æ – 7) by using the product rule. Let g (æ) = x² + 5 and h (x) = 2x – 7.
= (x) ,6
h' (x) =
f' (x) =
(c) Are the expressions for the derivative in (a) and (b) the same?
Yes
Transcribed Image Text:(a) Find the derivative of f (x) = (z² + + 5) (2x – 7) 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' (2) = (b) Find the derivative of f (x) = (a² + 5) (2æ – 7) by using the product rule. Let g (æ) = x² + 5 and h (x) = 2x – 7. = (x) ,6 h' (x) = f' (x) = (c) Are the expressions for the derivative in (a) and (b) the same? Yes
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