1. Down with Derivatives
Antiderivatives
Lesson 7.1B

2. Applications Suppose you know an expression for the marginal revenue
That is the rate at which the revenue is increasing or decreasing
How can you find the revenue function?
Given
The marginal revenue is the derivative of the revenue function
We seek the antiderivative of the marginal revenue

3. Finding the Demand Function
Then
Now R(0) = 0 so C = 0
And
Revenue = x • Demand So

4. Velocity and Acceleration
Recall relationship of s(t), v(t), and a(t)
v(t) = s '(t)
a(t) = v '(t) = s ''(t)
Given
v(0) = 6
Determine v(t)

5. Given the Slope Function
Can you find the original function?
Given
And the original function goes through (1, 1)
Find the original function

6. Assignment
Lesson 7.1B
Page 439
Exercises 45 – 71 odd