Transcription of Calculus Online Textbook Chapter 1 - MIT OpenCourseWare
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Calculus Online Textbook Chapter 1 - MIT OpenCourseWare
Chapter 1 Chapter 2 Chapter 3 Contents Introduction to Calculus Velocity and distance Calculus Without Limits The Velocity at an Instant Circular Motion A Review of Trigonometry A Thousand Points of Light Computing in Calculus Derivatives The Derivative of a Function Powers and Polynomials The Slope and the Tangent Line Derivative of the Sine and Cosine The Product and Quotient and Power Rules Limits Continuous Functions Applications of the Derivative Linear Approximation Maximum and Minimum Problems Second Derivatives: Minimum vs. Maximum Graphs Ellipses, Parabolas, and Hyperbolas Iterations x,+ ,= F(x,) Newton's Method and Chaos The Mean Value Theorem and l'H8pital's Rule Chapter 1 Introduction to Calculus Velocity and distance The right way to begin a Calculus book is with Calculus . This Chapter will jump directly into the two problems that the subject was invented to solve. You will see what the questions are, and you will see an important part of the answer.
the other measures the distance traveled. We will write v for the velocity, and f for how far the car has gone. The two instruments sit together on the dashboard: Fig. 1.1 Velocity v and total distance f (at one instant of time). Notice that the units of measurement are different for v and f.The distance f is
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