Find y' where y = 8 cos-1 (sin (19 z)) – cot-1 (14 z) Answer: 14 y' = -152 1+196 z2 -152 cos(19 z) + /1-sin²(19 z) 1+196 z2 152 14 /1-sin²(19 z) 1+196 z2 y' = -152- 1+196 z2 152 cos(19 z) 14 O y' = 1–sin²(19 z) 1+196 z2
Find y' where y = 8 cos-1 (sin (19 z)) – cot-1 (14 z) Answer: 14 y' = -152 1+196 z2 -152 cos(19 z) + /1-sin²(19 z) 1+196 z2 152 14 /1-sin²(19 z) 1+196 z2 y' = -152- 1+196 z2 152 cos(19 z) 14 O y' = 1–sin²(19 z) 1+196 z2
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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
Transcribed Image Text:Find y' where y = 8 cos-1 (sin (19 z)) – cot-1 (14 z)
Answer:
14
O y' = -152 –
1+196 z2
-152 cos(19 z)
V1-sin2(19 z)
1+196 z2
152
14
/1–sin²(19 z)
1+196 z2
-152 –
%3D
1+196 z2
152 cos(19 z)
V1-sin2(19 z)
14
1+196 z2
Expert Solution
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