Using the quotient rule
dy/dx = (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
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(x^2 - 1)^2
You are correct
Answer:
25 sq feet
Step-by-step explanation:
Length = 5 feet
Area = (Length)²
= 5²
= 25 sq feet
Answer:
5z^2-7z^4
Step-by-step explanation:
One of many outfits mean twice as much
Q(p) = k/p^3 . . . . . . . . we want to find k
q(10) = k/10^3 = 64
k = 64,000
Revenue = q(p)*p = 64000/p^2
Cost = 150 +2q = 150 +2*64000/p^3
Profit = Revenue -Cost = 64000/p^2(1 -2/p) -150
Differentiating to find the maximum profit, we have
.. dProfit/dp = -2(64000/p^3) +6(64000/p^4) = 0
.. -1 +3/p = 0
.. p = 3
A price of $3 per unit will yield a maximum profit.