Here are the fresh screenshots for this past week:

SS4.1.1

SS4.1.2

SS4.1.3 Leibniz’s calculator he invented.

SS4.1.4

SS4.1.5 A practical look at the beginning of derivatives and the Power Rule–part 1

SS4.1.6 A practical look at the beginning of derivatives and the Power Rule–part 2

SS4.1.7 Once you get down to the femtoseconds, or certainly the attoseconds, there really isn’t a difference. We are going to call that difference point “lil d” which means that it is so small that ∆ no longer works. At that point we call it instantaneous.

SS4.1.8 This is about the limit of our ability to detect a difference in times. The time it takes a chlorine atom to ionize a sodium atom.

SS4.1.9 As the ∆ gets smaller and smaller it reaches its limit of “lil d”. At that point it becomes instantaneous (but not zero).

SS4.1.10 Once ∆ gets small enough to become “lil d”, you can do the power rule and the new function is the derivative.

SS4.1.11 Examples of Power Rule

SS4.1.12 Examples of Power Rule

SS4.1.13 Examples of Power Rule

SS4.1.14 Examples of Power Rule

SS4.1.15 Examples of Power Rule

SS4.1.16 Newton vs. Leibniz

SS4.1.17 Newton vs. Leibniz

SS4.1.18 Power Rule gives you the derivative function which is the slope function.

SS4.1.19 Power Rule Example

SS4.1.20 Power Rule Example

SS4.1.21 Power Rule gives you the Pink Equations.

SS4.1.22 Each constant in front of the variables in kinematics stands for either position,velocity,acceleration,jerk,snap,crackle, or pop.

SS4.1.23 Figuring out what the constants are

SS4.1.24 Figuring out what the constants are

SS4.1.25 Figuring out what the constants are

SS4.1.26 Figuring out what the constants are

SS4.1.27 more derivative stuff

SS4.1.28 the derivative of the 2nd Orange Equations is the first orange equation.

SS4.1.29 Pink Equations

SS4.1.30 4.1.1

SS4.1.31 4.1.2

SS4.1.32 4.1.3

SS4.1.33 4.1.3E

SS4.1.34 4.1.3E

SS4.1.35 4.1.3F

SS4.1.36 4.1.4

SS4.1.37 Be careful on this one. Could be an essay question on the next test. Using that equation requires that the relationship be linear.

SS4.1.38 same idea

SS4.1.39 4.2.front

SS4.1.40 4.2.front

SS4.1.41 4.2.front

SS4.1.42 4.2.front

SS4.1.43 4.2.Back

SS4.1.44 4.2.Back

SS4.1.45 You should get Desmos for your phone

SS4.1.46 dF/dt is F dot or called “yank”

SS4.1.47 2nd Law of Thermo.

SS4.1.48 Okay to add this to your Division options.