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

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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.