Calculus MCV4U Unit #2 Derivatives Test Review:

1. A store sells 360 stainless steel thermal travel mugs per month at a price of $36 each. A market survey indicates that for each $2.75 decreases in price, sales will increase by $44 travel mugs.

a) determine an equation for the price as a function of n, p(n), and an equation for the number of mugs sold, x(n), as a function of n, where n represents the amount of increase/decrease.

b) determine the demand function, p(x).

c) determine the revenue function, R(x)

d) the total cost, C, in dollars, of producing x travel mugs is C(x)=0.0022x^2 + 0.95x +3900. Determine the marginal profit when 400 mugs are sold.

2. Differentiate each function. You final answer should be in fully factored form/simplified form and should have no negative exponents in it. ...

Differentiate the following functions Make sure they are fullysimplified. 1 ) 4= 3/ 6( 2X+1 ) Use Leibriz notation 2 ) P ( x ) = ( 5 x- 3 ) ( x 7 +5 )+ 4 ) 4= 6x, 2x-1 3 ) Q ( x ) = ( 2x- 9) VX - 2