Let f be differentiable at x = a. a. Find the equation of the line tangent to the curve y=f(x) at (a,f(a)). b. Find the Taylor polynomial p₁ centered at a and confirm that it describes the tangent line found in part (a). a. Choose the correct answer below. OA. y=f'(x-a) + f(a) OB. y=f'(a)(x) + f(a) OC. y = f'(a)(x-a) + f(a) OD. y=f(a)(x-a) + f'(a)

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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Let f be differentiable at x = a.
a. Find the equation of the line tangent to the curve y=f(x) at (a,f(a)).
b. Find the Taylor polynomial p₁ centered at a and confirm that it describes the tangent line found in part (a).
a. Choose the correct answer below.
O A. y = f'(x-a) + f(a)
O B. y=f(a)(x) + f(a)
OC. y = f'(a)(x-a) + f(a)
O D. y=f(a)(x-a) + f'(a)
Transcribed Image Text:Let f be differentiable at x = a. a. Find the equation of the line tangent to the curve y=f(x) at (a,f(a)). b. Find the Taylor polynomial p₁ centered at a and confirm that it describes the tangent line found in part (a). a. Choose the correct answer below. O A. y = f'(x-a) + f(a) O B. y=f(a)(x) + f(a) OC. y = f'(a)(x-a) + f(a) O D. y=f(a)(x-a) + f'(a)
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