Questions from General Calculus

Q: Given the cost function C(x) = x3 - 6x2

Given the cost function C(x) = x3 - 6x2 + 13x + 15, find the minimum marginal cost.

Q: If a total cost function is C(x) = .

If a total cost function is C(x) = .0001x3 - .06x2 + 12x + 100, is the marginal cost increasing, decreasing, or not changing at x = 100? Find the minimum marginal cost.

Q: The revenue function for a one-product firm is R

The revenue function for a one-product firm is R(x) = 200 – 1600/(x + 8) - x. Find the value of x that results in maximum revenue.

Q: The revenue function for a particular product is R(x)

The revenue function for a particular product is R(x) = x (4 - .0001x). Find the largest possible revenue.

Q: A one-product firm estimates that its daily total cost function

A one-product firm estimates that its daily total cost function (in suitable units) is C(x) = x3 - 6x2 + 13x + 15 and its total revenue function is R(x) = 28x. Find the value of x that maximizes the d...

Q: How do you determine the y-intercept of a function?

How do you determine the y-intercept of a function?

Q: What is an asymptote? Give an example.

What is an asymptote? Give an example.

Q: State the first-derivative rule. The second-derivative rule

State the first-derivative rule. The second-derivative rule.

Q: Give two connections between the graphs of f (x) and

Give two connections between the graphs of f (x) and f (x).

Q: Outline a method for locating the relative extreme points of a function

Outline a method for locating the relative extreme points of a function.