The following function gives the average cost (in dollars) per advertisement when paying for X advertisements to be posted on a popular Instagram account in a given month. C (x) = 2,450 + 50x + 900 а. What is the domain of C ? b. Find the derivative of C . Identify all stationary points of C . (if there are none, state why)

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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The following function gives the average cost (in dollars) per advertisement when
paying for X advertisements to be posted on a popular Instagram account in a given
month.
C (x)
2,450
+ 50х + 900
What is the domain of C ?
Find the derivative of C.
Identify all stationary points of C . (if there are none, state why)
С.
d.
Identify all singular points of C . (if there are none, state why)
е.
ldentify all endpoints of C . (if there are none, state why)
f.
When preforming the First Derivative Test, what values of x did you use
for your test points?
g.
Using the First Derivative Test, identify the exact location of all relative
and absolute extrema of C .
a.
b.
Transcribed Image Text:The following function gives the average cost (in dollars) per advertisement when paying for X advertisements to be posted on a popular Instagram account in a given month. C (x) 2,450 + 50х + 900 What is the domain of C ? Find the derivative of C. Identify all stationary points of C . (if there are none, state why) С. d. Identify all singular points of C . (if there are none, state why) е. ldentify all endpoints of C . (if there are none, state why) f. When preforming the First Derivative Test, what values of x did you use for your test points? g. Using the First Derivative Test, identify the exact location of all relative and absolute extrema of C . a. b.
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