1) determine the interval(s) where the function is increasing and the interval(s) where it is decreasing.

2) determine the interval(s) where the function is increasing and the interval(s) where it is decreasing.

3) Find the relative maxima and relative minima, if any, of the following function. Show your work and the procedure.

4) Suppose the total cost function for manufacturing a certain product is dollars, where x represents the number of units produced. Find the level of production that will minimize the average cost

5) The weekly demand for the Pulsar 25 color console television is --- where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly cost function is given by --- where denotes the total cost incurred in producing x sets.

a) Find the revenue function R and the profit function P.
b) Find the marginal cost function , the marginal revenue function , and the marginal profit function .
c) Compute R' and C' (2000)Interpret each of these values.

This provides examples of using derivatives to determine intervals of increase and decrease, extrema, and minimization.

$2.19

See Also This Related BrainMass Solution

Applications of Derivatives

An isosceles triangle whose base is the interval from (0,0) to (c,0) has its vertex on the graph of f, where f(x)=12-x^2 for x is greater than or equal to 0 and f(x) is greater than or equal to 0. For what value of c does the triangle have maximum area? Justify your answer.

Applications of Derivatives. ... This solution shows how to use calculus to find the value of the coordinate of vertex of a isoceles triangle that will give ...

... Then we use derivative to get the dimensions for ... problems, you can mention about limits, derivatives, slope of a tangent line, applications of differential ...

... a given value, and also in many applications involving sense ... such that the value of the derivative (slope of the ... When you learn calculus, you will see that the ...

... no programming language has codes for finding derivatives in calculus, or equations of ... it was written for scientific and mathematical applications) have no ...

... cost for most long-term debt and fair value for derivative liabilities ... setters do not always select it, as does the application of the ...calculus in recent decades ...

... natural rights" or some derivative thereof misses ... greater ethical awareness, consistency in application, and the ... of temporary employment, a calculus which is ...

... it, processes are basic and things derivative, because it ... 4. An Instructive Application Recourse to process is ... scarcity and the need for calculi of allocation ...

... to be the five most useful rules concerning derivatives. ... term is reserved to the application of Newton's ... The Definition of a Limit and Derivative, Product Rule ...

Applications of Graphing and Derivatives : Critical Points. ...Derivatives are used to analyze graphs. ... Then use the derivative and algebra to explain the shape of ...