MATH 205–15 Quiz #4
1. (14 points) Answer the questions below:
(a) (5 points) Find d
dθ (cos θ)esec θ.
(b) (4 points) For g(t) = arctan(tln t), find g0(t).
(c) (5 points) Given that y=earcsin(t2), find dy
dt .
Front Thursday, October 16, 2008
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community
Ask the community for help and clear up your study doubts
University Rankings
Discover the best universities in your country according to Docsity users
Free resources
Our save-the-student-ebooks!
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
A math quiz consisting of three problems related to differentiation and tangent lines. The problems involve finding derivatives, dy/dx expressions, and equations of tangent lines for given functions. The quiz also includes a bonus question about the relationship between a function and its inverse.
Typology: Quizzes
Pre 2010
1 / 2
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download MATH 205 Quiz #4: Calculus Problems and more Quizzes Mathematics in PDF only on Docsity!
MATH 205–15 Quiz #
- (14 points) Answer the questions below:
(a) (5 points) Find (^) dθd
[
(cos θ)esec^ θ
]
(b) (4 points) For g(t) = arctan(t ln t), find g
′ (t).
(c) (5 points) Given that y = earcsin(t
(^2) ) , find
dy dt.
Front Thursday, October 16, 2008
MATH 205–15 Quiz #
- (6 points) 2 x^2 − 3 xy − 6 y^2 + 2x − 4 y = −6 is the equation of a hyperbola.
(a) (4 points) On this curve, find
dy dx as an expression in^ x^ and^ y.
(b) (2 points) Find the equation of the tangent line to this curve at (1, −2).
- (2 point bonus) Given an invertable function f (x) and its inverse g(y), if f (x 0 ) = y 0 ,
find an expression for g
′ (y 0 ) in terms of f
′ (x 0 ).
Back Thursday, October 16, 2008