Questions from General Calculus

Q: What is the difference between a relative rate of change and a

What is the difference between a relative rate of change and a percentage rate of change?

Q: Define the elasticity of demand, E(p), for a

Define the elasticity of demand, E(p), for a demand function. How is E(p) used?

Q: Describe an application of the differential equation y’ = k(M

Describe an application of the differential equation y’ = k(M - y).

Q: Describe an application of the differential equation y’ = ky(M

Describe an application of the differential equation y’ = ky(M - y).

Q: State the product rule and the quotient rule.

State the product rule and the quotient rule.

Q: State the chain rule. Give an example.

State the chain rule. Give an example.

Q: Let f (x) = 1/x and g (

Let f (x) = 1/x and g (x) = x3. (a) Show that the product rule yields the correct derivative of (1/x)x3 = x2. (b) Compute the product f (x)g(x), and note that it is not the derivative of f (x)g (x)....

Q: What is the relationship between the chain rule and the general power

What is the relationship between the chain rule and the general power rule?

Q: Given f (1) = 1, f ‘(1

Given f (1) = 1, f ‘(1) = 5, g (1) = 3, g’(1) = 4, f ‘(3) = 2, and g ‘(3) = 6, compute. d/dx [ g ( f (x))] |x=1

Q: What does it mean for a function to be defined implicitly by

What does it mean for a function to be defined implicitly by an equation?