where the natural number n is called the degree of the polynomial. For polynomials P and Q, we can write d P(x) dr %3D dr Question 2: Use this property of polynomials to calculate the derivative of 3+ r, by first calculating the derivatives of the constant function 3 and the function r, and then adding them. Show that you get the same answer using limits for the function 3+r by direct calculation.

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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where the natural number n is called the degree of the polynomial. For polynomials P and Q, we
can write
( Pe) + (Q«)) = (Ple) + Q(=)
P(:
dr
dr
Question 2: Use this property of polynomials to calculate the derivative of 3+ , by first
calculating the derivatives of the constant function 3 and the function r, and then adding
them. Show that you get the same answer using limits for the function 3+ by direct calculation.
Transcribed Image Text:where the natural number n is called the degree of the polynomial. For polynomials P and Q, we can write ( Pe) + (Q«)) = (Ple) + Q(=) P(: dr dr Question 2: Use this property of polynomials to calculate the derivative of 3+ , by first calculating the derivatives of the constant function 3 and the function r, and then adding them. Show that you get the same answer using limits for the function 3+ by direct calculation.
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