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Material Type: Quiz; Professor: Null; Class: Calculus I; Subject: Mathematics; University: The University of Tennessee-Martin; Term: Fall 2009;
Typology: Quizzes
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(1.)^1 Write the definition of the hyperbolic sine and cosine, and use these to write the definition of the hyperbolic tangent in terms of 푒.
(2.) Using the definitions of hyperbolic sine and cosine, prove that (^) 푑푥푑 sinh 푥 = cosh 푥 and (^) 푑푥푑 cosh 푥 = sinh 푥.
(3.) Prove − sinh 푥 = sinh(−푥).
(4.) Find the derivative of ℎ(푥) = ln(cosh 푥^4 )
(^1) I wish we were vampires so we could do math forever! –Jacolby Reynolds
