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PH 121 2.1 - 2.2

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by

Richard Datwyler

on 23 September 2013

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Transcript of PH 121 2.1 - 2.2

What is a dimension?
Derivative Challenge
Everyone take 10 seconds and write
down a function of time, the trickier
the better. (within reason)

Now turn to your neighbor and
Do their derivative!!!

You may need to work it out together
Pointed Pete

Linear Linus

Area Archie

.....

What dimension do
we live in?

What is the derivative of Sine (2t)

A. -2 sine (2t)
B. -2 cosine (2t)
C. 2 sine (2t)
D. 2 cosine (2t)

What is the Derivative of
A bicycles position-vs-time graph is shown below
What is the bicyclist's velocity at t = 10 s, 25 s, & 35 s?
TIME = 10 s

A. 50 m
B. 75 m
C. 100 m
TIME = 25 s

A. 50 m
B. 75 m
C. 100 m
TIME = 35 s

A. 50 m
B. 75 m
C. 100 m
"How does a limit for time going to zero help us know what the instantaneous velocity is?"
" Can we make an example using the uniform motion formula? "
" I just started my calc class, so I'm not very knowledgeable when it comes to derivatives. What are they exactly?"
"an you go over the instantaneous velocity and how it relates to motion diagrams and derivatives?"
"I still have no idea how to do derivatives.... so my question is how do you do them?"
" Could you go over the calculus part of 2.2? That was a bit confusing."
"How can we apply multiple graphs to compare who reaches at certain point faster than the other if they have different speeds for example and start at different times?"
Derivatives
with respect to time
Power rule
Trig
Chain rule
Quotient rule
Full transcript