Find the absolute maximum and minimum of the function, if they exist, over the i
ID: 2829918 • Letter: F
Question
Find the absolute maximum and minimum of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. ( - infinity, infinity)
f(x) = 3x^4 - 6x^2
f(x) = 5x+3
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Find the relative extreme points of the function, if they exist.
f(x) = 3x^2 - 2x^3
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Find the maimum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x) and cost, C(x) are in dollars.
R(x) = 6x
C(x) = 0.01x^2 + 0.4x + 9
What is the production level for the maximum profit? Units?
What is the profit? $$$
Explanation / Answer
f(x) = 3x^2 - 2x^3
f '[x] = 6x-6x^2=0
x-x^2=0
=>x=0 , x=1
f '[0]=0
f '[1]=0
Minimum and extreme points are 0,0
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