(a) Find the derivative of f (x) = (x² + 6) (2x – 5) by first expanding the polynomials. Enter the fully simplified expression for f (x) after expanding the polynomials. a |a| az Va na f (x) = & Enter the derivative of f (x). a Va |a| sin (a) f' (x) =D (b) Find the derivative of f (x) = (x² + 6) (2æ – 5) by using the product rule. Let g (æ) = x2 + 6 and h (x) = 2x – 5. a Va |a| sin (a) g' (x) = & a la sin (a) h' (x) = & a Va la| sin (a) f' (z) = D (c) Are the expressions for the derivative in (a) and (b) the same?
(a) Find the derivative of f (x) = (x² + 6) (2x – 5) by first expanding the polynomials. Enter the fully simplified expression for f (x) after expanding the polynomials. a |a| az Va na f (x) = & Enter the derivative of f (x). a Va |a| sin (a) f' (x) =D (b) Find the derivative of f (x) = (x² + 6) (2æ – 5) by using the product rule. Let g (æ) = x2 + 6 and h (x) = 2x – 5. a Va |a| sin (a) g' (x) = & a la sin (a) h' (x) = & a Va la| sin (a) f' (z) = D (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
Section4.5: Rational Functions
Problem 54E
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(a) Find the derivative of f(x)=(x2+6)(2x−5) by first expanding the polynomials.
Enter the fully simplified expression for f(x) after expanding the polynomials.
Enter the derivative of f(x).
f′(x)=
(b) Find the derivative of f(x)=(x2+6)(2x−5) by using the product rule. Let g(x)=x2+6 and h(x)=2x−5.
g′(x)=
h′(x)=
f′(x)=
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