1)Given that : f ( x ) = x3+9 x2/2 +6x-3 Find the critical numbers. b)Find the interval(s) where the function, f(x) , is increasing and theinterval(s) where it is decreasing.
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1)Given that : f ( x ) = x3+9 x2/2 +6x-3
Find the critical numbers.
b)Find the interval(s) where the function, f(x) , is increasing and theinterval(s) where it is decreasing.
2)Given :f ( x ) = 2x3-3x2-36x+14
Find the critical numbers.b)Find the relative (local) extrema.
3) f (x) = 2 x2 + 4000/x +10
a)Find the derivative .
b)Find the critical number(s), if any.
4)Given f(x) = 2x/(x2 + 1)
a)Find the derivative.
b)Find the critical numbers .
5)Let f ( x ) =3x4 + 4x3
Find the derivative.
b)Find the critical numbers.
c)Find the absolute extrema f(x) on [ -2 , 1]
6)Let f ( x ) = x4 + x3 - 3x2 + 1
a)Find all the hypercritical values.
b)Determine the intervals upon which f(x) is concave up or concave down.
Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars .What price will yield a maximum profit ?
8)Suppose the total cost of a certain product is C(x) = 0.001 x2+ 5x + 300. The product can be sold at a price of p dollars, where p = 8 - 0.003x. If all the products are sold, find the daily level of production that will yield a maximum profit.
A firm in a competitive market must sell its product for $ 200 per unit. Thetotal Cost per month is given by : C (x) = 80 x +x2 where x is thenumber of units sold per month.How many units must be sold to maximize profit?What is the maximum profit ?
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