Q question 1: What is the definition of the derivative using first principles. What does it find?

Question 2: Explain how finding the derivatives of quotients uses the product and chain rule. Include an example to illustrate your solution.?

For questions 1 and two i need it for discussion so i need an explanation of it and answering the question by examples and explanation also please please for each question includes at least two examples but I need an explanation, please explain it and then prove your explanation with example and explain the example. remember it is the discussion so I don't need an example like in the test just an example for proving the explinationn.

Qoestion3: . The total cost,C, in dollars, of producingx number of hot tubs can be modelled by the functionCx=3450x-x2, 0x1500. Determine the marginal cost at a production level of 750 hot tubs. Explain what this means to the manufacturer.

in this question I want it to show all your steps it is for unit Derivatives do like in the test show everything.