PPT-Velocity and Other Rates of Change

Chapter 34 Instantaneous Rates of Change An important goal for this course is to understand not only how to find derivatives for example but also to understand the derivative as a concept Its easy to know how to find the derivative of say . Section 3.4a. The difference quotient:. When we let . h. approach 0, we saw the rate at which a function. w. as changing at a particular point . x. …. Definition: Instantaneous Rate of Change. The . Section 3.4a. The difference quotient:. When we let . h. approach 0, we saw the rate at which a function. w. as changing at a particular point . x. …. Definition: Instantaneous Rate of Change. The . We’ve talked about how a derivative can be used to find the slope of a tangent line.. The derivative can also be used to determine the rate of change of one variable with respect to another. Or the . Rates of change. Example 1:. Find the rate of change of the Area of a circle with respect to its radius.. Evaluate. the rate of change of A at . r = 5. and . r = 10. .. If . r. is measured in inches and . Notes . 3.4 . I. Instantaneous Rate of Change. A.) Def: The . instantaneous rate of change . of . f. with respect to . x . at . a . is the derivative . Provided the limit exists.. . . . ND. SEMESTER”. Warm-up:. Imagine that you are in an egg-throwing competition. How do you catch the egg thrown by your partner so that it doesn’t break? Why?. Video Demos. Demo 1: . Catching an Egg in a sheet. Describing changes in velocity, and how fast they occur, is a part of describing motion.. How are changes in velocity described?. The rate at which velocity changes is called. . acceleration.. Scientists can perform artificial transmutations by bombarding atomic nuclei with high-energy particles such as protons, neutrons, or alpha particles.. ND. SEMESTER”. Warm-up:. Imagine that you are in an egg-throwing competition. How do you catch the egg thrown by your partner so that it doesn’t break? Why?. Video Demos. Demo 1: . Catching an Egg in a sheet. Function Review.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves. Function Review.  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves. Use . implicit differentiation to find . If. What is a Related Rate?. When working related-rate problems, instead of finding a derivative of an equation y with respect to the variable x, you are finding the derivative of equations with respect to time, a hidden variable . Acceleration is a measure of . the change in velocity per unit of time. When the velocity of an object is changing, it is . accelerating. Negative acceleration: . slowing down. Positive acceleration: . Displacement, Velocity, and Acceleration are the three vector quantities that describe the motion of any object during a specified time interval.. Vectors – Quantities that have . magnitude . and direction.. October 17-18, 2016. Mrs. Agnew. Essential Question. How do you find the average rate of change of . a function?. Essential Vocabulary. Average Rate of Change. Function. Function Notation. Average Rate of Change. Defination. In non-uniform motion,the velocity of a body changes with time . For example, when a train leaves or approaches the platform its velocity changes with time. The change in velocity of an object with time is given by a physical quantity known as acceleration. .