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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Transcribed Image Text:6:47 1
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Beta Exam.pdf Q
SHOW ALL WORK (augebra, grapmng, tig, et.)
Put a box around your final answer.
Do not Approximate.
Explain your reasoning when at all necessary. Use complete sentences, good grammar, etc.
============= ======
Problem #1
Suppose that f(x) =
а)
Use the definition of the derivative to find f'(x).
b)
Find the equation of the line tangent to the curve at the point where
x = 2,
Problem #2
lim sin 40
8-OL tan 60
find
Problem #3
(2r³ + 1)$
(x³ + 2)*
Find
if y =
As always: simplify fully.
dx
--- --== ==
Problem #4
dy
Find
if
6x³ + 2y³ = 3xy
dx
=== ===--
=== ===== --
Problem #5
- (1+ 꽃)"
Find y'(x)
if
Problem #6
Find
if y- logat
y'(x)
6.
000
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