Antiderivatives Lesson 7.1B Down with Derivatives.

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Presentation transcript:

Antiderivatives Lesson 7.1B Down with Derivatives

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 2

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

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) 4

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

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