a. Calculate the value of the slope of Y = - 2 X4 + x -3- 2X -2 + 5 at X = -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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a. Calculate the value of the slope of
Y = - ½ x4 + x -3 - 2X -2 + 5
at X = -2
b. Differentiate the following
i. Y = (x3 - 2) (2X?
+ 3x) using the product rule
%3D
ii. f(x) = (2x3 + 1) x2 + 3)
i. y = 2x e3x2
%3D
iv. y = x2 In (4x + 2)
C. Evaluate
i.
xpe
ii..
+ 3x) dx
iii.
(Inx / x?) dx
Transcribed Image Text:a. Calculate the value of the slope of Y = - ½ x4 + x -3 - 2X -2 + 5 at X = -2 b. Differentiate the following i. Y = (x3 - 2) (2X? + 3x) using the product rule %3D ii. f(x) = (2x3 + 1) x2 + 3) i. y = 2x e3x2 %3D iv. y = x2 In (4x + 2) C. Evaluate i. xpe ii.. + 3x) dx iii. (Inx / x?) dx
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