Questions from General Calculus

Q: How is an (instantaneous) rate of change related to average

How is an (instantaneous) rate of change related to average rates of change?

Q: Differentiate. y = 2√(x + 1)

Differentiate. y = 2√(x + 1)

Q: Explain the relationship between derivatives and velocity and acceleration.

Explain the relationship between derivatives and velocity and acceleration.

Q: What expression involving a derivative gives an approximation to f (a

What expression involving a derivative gives an approximation to f (a + h) - f (a)?

Q: Describe marginal cost in your own words.

Describe marginal cost in your own words.

Q: How do you determine the proper units for a rate of change

How do you determine the proper units for a rate of change? Give an example.

Q: Define the slope of a nonvertical line and give a physical description

Define the slope of a nonvertical line and give a physical description.

Q: What is the point–slope form of the equation of a

What is the point–slope form of the equation of a line?

Q: Describe how to find an equation for a line when you know

Describe how to find an equation for a line when you know the coordinates of two points on the graph of a line.

Q: What can you say about the slopes of parallel lines? Perpendicular

What can you say about the slopes of parallel lines? Perpendicular lines?