Brain Dump

A.       Derivative Notation The derivative of f(x) is written as f'(x). We read it f prime of x. We can say it y' (y prime) because f(x) and y is interchangeable. Other we have notation dy/dx. It means the change in y's over the change in x's or we know it as slope. We say that the derivative is a slope of tangent line at specific point. We remember that the slope is change in y values over the change in x values. For the derivative we need two points. The first is (x, f(x)), f(x) is represented y. We can say that (x, f(x)) is the starting point (x,y). The second point is ((x+h),f(x+h)) with h is change in x. From those points we can find the slope of the line between points by slope formula. The formula is shown bellow. Slope=(change in y's)/(change in x's)=(y2-y1)/(x2-x1) Suppose that y1 is f(x), y2 is f(x+h), x1 is x, and x2 is x+h. So from the formula we get (f(x+h)-f(x))/(x+h-x)= (f(x+h)-f(x))/h h represent change in x values. If we put limit h approach

Reflection for English – Math Videos Last meeting, Mr. Marsigit gave us some videos and told us to make a reflection from the videos. He wanted us to make one reflection that he picked and three others that we picked ourselves. Here're some videos. A.       Basic Mathematics Lesson 4: Properties of Numbers (VideoMathTutor.com) This video is hosted by Luis Anthony Ast. The material is shown bellow. 1.        Introduction All numbers, variables, and algebraic expressions have properties. So in this video, we will discuss about properties of numbers, variables, and algebraic expressions.         Special Note: We use variable A, B, and C to represent numbers, variables, and algebraic expressions. But to simplify we just use the word number or value. 2.        Properties of Numbers a.        The Reflexive Property of Equality A number is equal to itself. A=A, 3=3, 5=5 The reflexive property means that a number is equal to that number itself. So if we have A, we know that A is equal t

Actually, I made two different songs. So I will post both of my songs. Enjoy. Original Song: What Makes You Beautiful Singer: One Direction Title: What's Total Value? Lyrics:             You're insecure,             you are mad on,             math that give you everything to co-o-unt.             You don't know how,             to count the one,             algebraic express seems so fa-a-ar.             Everyone else in the room can do it,             everyone else but you.             *) Find out the total value, you just multiply.             How many the units are and the price tags say.             So we get the total value,             it ain't hard to tell, you will know oh oh.             That is the total value!             *) Divide the total value by all units,             you'll understand that's how to find value per unit.             Right now I'm looking for you, and I can't believe.             You now know oh oh,             you no

Mr. Marsigit gave us some tasks; make a reflection from his videos he gave us. Some of the videos are song. The songs tell us the material of mathematics. If we sing the songs for students, they will understand the material from the song. These are the songs Mr. Marsigit gave us. 1.        Mean, Median, and Mode This song tells us how to find mean, median, and mode of data. The lyric is shown bellow.                 Mean, median, and mod How do you find mean? Add up the numbers in the data sheet Divide the total by the number of items The answer is mean or average Mean, median, and mode How do you find median? Arrange the numbers in order from the lowest to the highest value The middle numbers is the median for an odd number of items The average of two middle numbers is the median for an even number of items Mean, median, and mode Mean, median, and mode How do you find mode? Just find the number that repeats most often And the number is the mode If you find no number that repeats