Verify the identity. sec(x) sec(x) - tan(x) sec(x) sec(x) - tan(x) || = = sec(x) (sec(x) + tan(x)) sec(x) + tan(x) sec(x) + tan(x) sec(x) sec(x) - tan(x) sec(x) (sec(x) + tan(x))_ - tan²(x) (sec(x) + tan(x))

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 35E
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Verify the identity.
sec(x)
sec(x) - tan(x)
sec(x)
sec(x) - tan(x)
II
=
||
= sec(x) (sec(x) + tan(x))
sec(x)
sec(x) - tan(x)
sec(x) + tan(x)
sec(x) + tan(x)
sec(x) (sec(x) + tan(x))
- tan²(x)
• (sec(x) + tan(x))
Transcribed Image Text:Verify the identity. sec(x) sec(x) - tan(x) sec(x) sec(x) - tan(x) II = || = sec(x) (sec(x) + tan(x)) sec(x) sec(x) - tan(x) sec(x) + tan(x) sec(x) + tan(x) sec(x) (sec(x) + tan(x)) - tan²(x) • (sec(x) + tan(x))
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