1- Find the average rate of change for y = x, = 1x1 = 22- Find the instantaneous rare of change for the above function atx = 33- Show that the function y = x + 3x + 3 satisfy the y + xy -2y- = 04- Find dy/dx for:a- y = sec?x - tan?xb- y = sec - x)C- y = sin(tan(3x))d- y = V1 + sin³ (x)e- y = 2(V- 1)f- y = cos {sin(2x*)}x-25-Find the equation of the tangent to the function y = sin x at x = 7/46- Show that y = xsinx is a solution to y +y = 2cosx

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1- Find the average rate of change for y == x, = 1 X = 2

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 7CR

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Exponential Growth Model

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Question

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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