1) Find ′ ( ) Don't simplify the answer. a) ( ) = (2x54b) ( ) =+ 3 )
2x-5x (.it's 2x exposant 2 but i don't success to write the exposant)
c) ( ) = (2 2 − 5 )ln( 2 − 3 + 1)
2. Suppose the cost of producing x units of a product (in dollars) is given by
( ) = 3 − 3 + 100.
a) Find the cost of producing 5 units.
b) Find the marginal cost when = 5.
c) Explain the difference between the answers in (a) and (b).
3. Suppose the cost of producing x units of a product (in dollars) is given by C(x)= (x2-3x+5)2 Find the marginal cost of producing 10 units of this product.
4. A company that manufactures bicycles has determined that a new employee can assemble ( ) bicycles per day after days of on-the-job training, where ( ) = 100 2/ 3 2+10. Find the rate of change function for the number of bicycles assembled with respect to time.