есх Find the derivative of y = Arccot (tan(esec*)) in its simplest form secr

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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Find the derivative of y = Arccot (tan(esecx)) in its simplest form
A. y' = e secxsecxtanx
В. у'
secxtanx
= e
sec? (esecx)esecx secxtanx
С. у'
1+ tan² (esecx*)
-sec? (esecx)esecx secxtanx
D. y'
1+ tan² (esecx*)
Transcribed Image Text:Find the derivative of y = Arccot (tan(esecx)) in its simplest form A. y' = e secxsecxtanx В. у' secxtanx = e sec? (esecx)esecx secxtanx С. у' 1+ tan² (esecx*) -sec? (esecx)esecx secxtanx D. y' 1+ tan² (esecx*)
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