13. (a) State the definition of the derivative of a function as a limit. (b) Use the definition above to find f'(r) when f(r) = %3D 2r+ 1 14. Find the equations of the tangent and normal lines to the curve y = r+1 at r= 2. I-1 15. Use the rules of differentiation to find the derivative of each of the function below. (c) h(r)= (r- 2r)(r+r) COs r (a) f(r)= %3D %3D (d) j(r)3= 6r +1 1- sin r (b) g(r) = 6r-1 (e) f(x)=rcos r+2 tan r Page 2

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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Please solve all of those problems. I did try them by hand. Just want a good explanation

13. (a) State the definition of the derivative of a function as a limit.
(b) Use the definition above to find f'(a) when f(x)
%3D
2r +1
r+1
14. Find the equations of the tangent and normal lines to the curve y =
at r= 2.
15. Use the rules of differentiation to find the derivative of each of the function below.
(c) h(r)= (r - 2r)(x+)
%3D
(a) f(r) =
%3D
COS r
(d) j(r)
%3D
1- sin r
(e) f(x)=xcos r+2 tan r
6r + 1
(b) g(r)
6r 1
Page 2
Transcribed Image Text:13. (a) State the definition of the derivative of a function as a limit. (b) Use the definition above to find f'(a) when f(x) %3D 2r +1 r+1 14. Find the equations of the tangent and normal lines to the curve y = at r= 2. 15. Use the rules of differentiation to find the derivative of each of the function below. (c) h(r)= (r - 2r)(x+) %3D (a) f(r) = %3D COS r (d) j(r) %3D 1- sin r (e) f(x)=xcos r+2 tan r 6r + 1 (b) g(r) 6r 1 Page 2
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