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For the triangle given in the previous example, show that the line segment joining the midpoints of any two sides is equal in length to one-half the third side.

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 9

Elements of Geometry

Derivatives

Missouri State University

Campbell University

Harvey Mudd College

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

09:34

Prove that the line segmen…

01:21

03:59

Use a vector argument to p…

01:48

Show that the line through…

05:31

Connecting Algebra and Geo…

So in this problem, what we're going to have to do is reflect the whole over the barrier and give the coordinates of the image of the whole. So was first start off with a diagram. So first if we draw straight a line there and let's represent this is gonna be the whole art. Let me have a line right here just this morning. So this is the whole right here and this is the ball, so bomb and then song this is gonna be they're here and This is a 3.8.8, which is going to be 32. So what that means is H. Prime is equal to 36 plus four. So that means us three and And if you do three times this way, this Point is 3, 10. That means that's why we're equal six.

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