Question

http://answers.yahoo.com/question/index?qid=20110208184727AAH0qBL How did they get the numbers that they used in the theorem?

Answer 1

From the graph linked.

Answer 2

Yea I don't get how the person got the numbers that he pluged into the formula

Answer 3

I mean don't you need to have a function to get the der/ of it and it looks like he just got slope and pluged that in did he?

Answer 4

Derivatives are the rate of change of a variable with respect to variable. For example, dy/dx is the change o y over the change of x. In a graph, isn't the slope the change in y over the change of x as well?

Answer 5

Ohh okay that makes sense so finding the derivative of a tangent line is just finding the slope?

Answer 6

Close. The derivative of a curve at a point will be the same as the slope of the tangent that goes through that point.

Answer 7

Okay cool thank you!

Answer 8

No problem.