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1 review
by: Anup Hassan

19

2

2

# ch 5 review APPM 1360

Anup Hassan

GPA 3.4

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review of calc 1
COURSE
Calculus 2 for Engineers
PROF.
Silva Chang
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
calculus 2
KARMA
Free

## 2

1 review
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## Popular in Applied Mathematics

This 2 page Class Notes was uploaded by Anup Hassan on Saturday January 16, 2016. The Class Notes belongs to APPM 1360 at University of Colorado at Boulder taught by Silva Chang in Spring 2016. Since its upload, it has received 19 views. For similar materials see Calculus 2 for Engineers in Applied Mathematics at University of Colorado at Boulder.

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Date Created: 01/16/16
APPM 1350: Guidelines for section 5.6 and 5.7 Students are responsible for knowing: 1. In Section 5.6 (Inverse Trig Functions): (a) De▯nition, domain and range of arcsin(x), arccos(x) and arctan(x) (b) Derivatives and graphs of arcsin(x), arccos(x) and arctan(x) 2. In Section 5.7 (Hyperbolic Trig Functions): (a) De▯nition, domain and range of sinh(x), cosh(x) and tanh(x) (b) Derivatives and graphs of sinh(x), cosh(x) and tanh(x) (c) Hyperbolic Identities: i. sinh(▯x) = ▯sinh(x) ii. cosh(▯x) = cosh(x) iii. cosh (x) ▯ sinh (x) = 1 ▯1 ▯1 ▯1 (d) De▯nition of sinh (x), cosh (x) and tanh (x) Students do NOT need to memorize: 1. In Section 5.6 (Inverse Trig Functions): (a) De▯nition, domain and range of arccot(x), arcsec(x) and arccsc(x) (b) Derivatives and graphs of arccot(x), arcsec(x) and arccsc(x) 2. In Section 5.7 (Hyperbolic Trig Functions): (a) De▯nition, domain and range of coth(x), sech(x) and csch(x) (b) Derivatives and graphs of coth(x), sech(x) and csch(x) (c) Hyperbolic Identities: i. sinh(x + y) = ::: ii. cosh(x + y) = ::: iii. 1 ▯ tanh (x) = sech (x) (d) De▯nition of coth (x), sech (x) and csch (x) ▯1 (e) Derivatives of the inverse hyperbolic functions. ▯1 (f) Inverse hyperbolic function identities such as sinh (x) = ln(:::), etc. APPM 1350: Guidelines for section 5.6 and 5.7 Students are responsible for knowing: 1. In Section 5.6 (Inverse Trig Functions): (a) De▯nition, domain and range of arcsin(x), arccos(x) and arctan(x) (b) Derivatives and graphs of arcsin(x), arccos(x) and arctan(x) 2. In Section 5.7 (Hyperbolic Trig Functions): (a) De▯nition, domain and range of sinh(x), cosh(x) and tanh(x) (b) Derivatives and graphs of sinh(x), cosh(x) and tanh(x) (c) Hyperbolic Identities: i. sinh(▯x) = ▯sinh(x) ii. cosh(▯x) = cosh(x) iii. cosh (x) ▯ sinh (x) = 1 ▯1 ▯1 ▯1 (d) De▯nition of sinh (x), cosh (x) and tanh (x) Students do NOT need to memorize: 1. In Section 5.6 (Inverse Trig Functions): (a) De▯nition, domain and range of arccot(x), arcsec(x) and arccsc(x) (b) Derivatives and graphs of arccot(x), arcsec(x) and arccsc(x) 2. In Section 5.7 (Hyperbolic Trig Functions): (a) De▯nition, domain and range of coth(x), sech(x) and csch(x) (b) Derivatives and graphs of coth(x), sech(x) and csch(x) (c) Hyperbolic Identities: i. sinh(x + y) = ::: ii. cosh(x + y) = ::: iii. 1 ▯ tanh (x) = sech (x) (d) De▯nition of coth (x), sech (x) and csch (x) ▯1 (e) Derivatives of the inverse hyperbolic functions. ▯1 (f) Inverse hyperbolic function identities such as sinh (x) = ln(:::), etc.

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