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In Exercises 13–24, find the derivative of y with respect to the appro- priate variable. 1 14. y = sinh (2x + 1) х 13. y = 6sinh 15. y = 2Vitanh Vi 16. y = t²tanh- 18. y = In(cosh z) 17. y = In (sinh z) 19. y = (sech 0)(1 – In sech 0) 20. y = (csch 0)(1 – Incsch 0) tanh? v coth v 21. y = Incosh v 22. y = In sinh v 23. y = (x² + 1) sech (In x) (Hint: Before differentiating, express in terms of exponentials and simplify.) 24. y = (4x² – 1)csch (In 2x)

In Exercises 13–24, find the derivative of y with respect to the appro- priate variable. 1 14. y = sinh (2x + 1) х 13. y = 6sinh 15. y = 2Vitanh Vi 16. y = t²tanh- 18. y = In(cosh z) 17. y = In (sinh z) 19. y = (sech 0)(1 – In sech 0) 20. y = (csch 0)(1 – Incsch 0) tanh? v coth v 21. y = Incosh v 22. y = In sinh v 23. y = (x² + 1) sech (In x) (Hint: Before differentiating, express in terms of exponentials and simplify.) 24. y = (4x² – 1)csch (In 2x)

Calculus: Early Transcendentals
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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In Exercises 13–24, find the derivative of y with respect to the appro- priate variable. 1 14. y = sinh (2x + 1) х 13. y = 6sinh 15. y = 2Vitanh Vi 16. y = t²tanh- 18. y = In(cosh z) 17. y = In (sinh z) 19. y = (sech 0)(1 – In sech 0) 20. y = (csch 0)(1 – Incsch 0) tanh? v coth v 21. y = Incosh v 22. y = In sinh v 23. y = (x² + 1) sech (In x) (Hint: Before differentiating, express in terms of exponentials and simplify.) 24. y = (4x² – 1)csch (In 2x)
Transcribed Image Text:In Exercises 13–24, find the derivative of y with respect to the appro- priate variable. 1 14. y = sinh (2x + 1) х 13. y = 6sinh 15. y = 2Vitanh Vi 16. y = t²tanh- 18. y = In(cosh z) 17. y = In (sinh z) 19. y = (sech 0)(1 – In sech 0) 20. y = (csch 0)(1 – Incsch 0) tanh? v coth v 21. y = Incosh v 22. y = In sinh v 23. y = (x² + 1) sech (In x) (Hint: Before differentiating, express in terms of exponentials and simplify.) 24. y = (4x² – 1)csch (In 2x)
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