Introduction to Derivatives

1:05-1:15

Slope is equal to "rate of change of vertical variable" over "rate of change of horizontal variable"

It is also described as...

• v over h

• rise over run

• y over x

• change over change

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CCSS.HSS.ID.C.7

3:39-4:21

Choose the best explaination of Derivative below

• The speed of Bolt

• The slope of tangent line

• It's not important, just one of the useless ideas of differential calculus

• The average rate of change

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CCSS.HSS.ID.C.7

4:22-4:30

Who, according to the video, are the fathers of calculus?

• Leibniz

• Newton

• Pythagoras

• Derivatives

4:25-4:48
How would Leibniz denote derivatives

• He didn't denote derivatives

• $f'\left(x\right)$

• $f\left(x\right)$

• $\frac{\text{d}y}{\text{d}x}$

5:14-5:39

How would we calcuate derivatives?

• Finding change in y over change in x, when x approaches 0

• Finding big change in y over big change in x, when x approaches infinity

• Finding delta of the equation

• We don't calculate derivatives

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CCSS.HSF.IF.B.6

5:42-6:21
How would Lagrange denote derivatives

• He didn't denote derivatives

• $f'\left(x\right)$

• $f\left(x\right)$

• $\frac{\text{d}y}{\text{d}x}$

6:47-7:10
In our calculus adventure, which of the following is "very useful", as stated in the video

• discriminant

• qudrative formula

• infinity

• limit

Tags

CCSS.HSA.REI.B.4

7:10-7:15

How excited you are about our calculus adventure?

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