# Complete all 7 steps. Place work and answers, below each respective step. Expand the space as needed. 2. Show all steps used in arriving at the final answers. Incomplete solutions will receive partial credit

**Adams Nigel**

1. Complete all 7 steps. Place work and answers, below each respective step. Expand the space as needed.

2. Show all steps used in arriving at the final answers. Incomplete solutions will receive partial credit.

3. Word-process formulas using Equation Editor and diagrams using Drawing Tool.

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**Problem 1**

Given y = f(x) = x^{2} + 2x +3

a) Use the definitional formula given below to find the derivative of the function.

b) Find the value of the derivative at x = 3.

**Problem 2**

Given, y = f(x) = 2 x^{3} - 3x^{2} + 4x +5

a) Use the Power function to find derivative of the function.

b) Find the value of the derivative at x = 4.

**Problem 3**

The revenue and cost functions for producing and selling quantity x for a certain production facility are given below.

R(x) = 16x â€“ x^{2}

C(x) = 20 + 4x

a) Determine the profit function P(x).

b) Use Excel to graph the functions R(x), C(x) and P(x) for the interval 0â‰¤ x â‰¤ 12. Copy and paste the graph below. Note: Use Scatter plot with smooth lines and markers.

c) Compute the break-even quantities.

d) Determine the average cost at the break-even quantities.

e) Determine the marginal revenue Râ€™(x).

f) Determine the marginal cost Câ€™(x)

g) At what quantity is the profit maximized?

- 7 years ago

**Perfect Solution A+++**

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- sol-perfect.docx

### Before doing this assignment, do the practice problem posted under Apply and Discover.

NOT RATED**Notes:**1. Before doing this assignment, do the practice problem posted under Apply and Discover.

2. Word-process your solutions â€¦

7 years ago### Use the definitional formula given below to find the derivative of the function

NOT RATED**Problem 1**Given y = f(x) = x

^{2}+ 2x +3a) Use the definitional formula given below to find the derivative of the function.

b) Find the â€¦

7 years ago### Use the definitional formula given below to find the derivative of the function.

NOT RATED**Problem 1**Given y = f(x) = x

^{2}+ 2x +3a) Use the definitional formula given below to find the derivative of the function.

b) Find â€¦

6 years ago