question archive 1) Find ′ ( ) Don't simplify the answer

Subject:MathPrice: Bought3

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)= (x^{2}-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.