Instantaneous Rate (3.2.2)

Question 1

How do you find the velocity of an object at a given time?

Answer 1

• Substitute the specified time into the position function to find the location of an object at that time. Substitute the specified time into the derivative of the position function to find the velocity of an object at that time.

Question 2

• The derivative of f at x is given by (see below) provided the limit exists.

f’(x) = lim (delta x -> 0)

(f(x + delta x) - f(x))/delta x

Answer 2

• The derivative of f at x is given by (see below) provided the limit exists.

f’(x) = lim (delta x -> 0)

(f(x + delta x) - f(x))/delta x