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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![1- Find the average rate of change for y = x, = 1
x1 = 2
2- Find the instantaneous rare of change for the above function at
x = 3
3- Show that the function y = x + 3x + 3 satisfy the y + xy -
2y- = 0
4- Find dy/dx for:
a- y = sec?x - tan?x
b- y = sec - x)
C- y = sin(tan(3x))
d- y = V1 + sin³ (x)
e- y = 2(V- 1)
f- y = cos {sin(2x*)}
x-2
5-Find the equation of the tangent to the function y = sin x at x = 7/4
6- Show that y = xsinx is a solution to y +y = 2cosx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f8a3adf-f748-4231-bd30-a694cf6039bd%2F6c27a4af-b0a1-46da-922d-6355e6fee403%2F5k3epor_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1- Find the average rate of change for y = x, = 1
x1 = 2
2- Find the instantaneous rare of change for the above function at
x = 3
3- Show that the function y = x + 3x + 3 satisfy the y + xy -
2y- = 0
4- Find dy/dx for:
a- y = sec?x - tan?x
b- y = sec - x)
C- y = sin(tan(3x))
d- y = V1 + sin³ (x)
e- y = 2(V- 1)
f- y = cos {sin(2x*)}
x-2
5-Find the equation of the tangent to the function y = sin x at x = 7/4
6- Show that y = xsinx is a solution to y +y = 2cosx
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