By: Millie, Shi and Mei Ying. About the authors I’m Shi Huang, a AP Calculus AB student. I am a senior from HSES. Math is my favorite subject because.

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Presentation transcript:

By: Millie, Shi and Mei Ying

About the authors I’m Shi Huang, a AP Calculus AB student. I am a senior from HSES. Math is my favorite subject because is challenging and fun; therefore, I took AP calculus during my senior year. I will major in math and science in college and hope to become a professional doctor in the future.

I am Millie Tang. I am a senior in Ms. Zhao’s AP Calculus AB class. I am a bit shy at school but I am really loud at home. One of my academic goals is to graduate and get a degree from Baruch College. Another goal is of course to have above a 3.0 GPA in College.

I am Mei Ying Chen, or call me Joey. I am a senior in Ms. Zhao's AP Calculus AB class and I am the class monitor. I considered myself as a friendly and optimistic person Next year, I am going to City College of New York. I didn’t decide my major yet but I want to study abroad. Lastly, I hope I receive a “5” on the AP Calculus Exam…

Chapter 1 – Limits and Continuity

Limits exist when…

Limit does not exist when…

 After we went over the general rules of finding derivative, let’s solve a derivative related question:

These are some common derivatives

In calculus, an antiderivative, also known as the indefinite integral of a function f - is a differentiable function F whose derivative is equal to f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration) and its opposite operation is called differentiation, which is the process of finding a derivative.

The Two Fundamental Theorem of Calculus

Let’s do some practices

Alright, last example

The antiderivative of a function is a function plus a constant of integration(represent by letter C).

Citation us_functions.html us_functions.html Ms.Zhao notes. %20How%20do%20we%20evaluating%20definite%20integrals%20w ith%20substituiton.pdf %20How%20do%20we%20evaluating%20definite%20integrals%20w ith%20substituiton.pdf iderivatives iderivatives