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8
student
wait so the shape of f(x) helps us know the answer for f'(x) and the shape of f'(x) helps us know the answer for f''(x)?
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volunteer
The shape of f(x) helps you to know both f' and f".
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volunteer
if f(x) is increasing over an interval, then f' will be >0 over the that interval.
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volunteer
if f(x) is concave up over an interval, then f" will be >0 over that interval
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volunteer
You don't have the graph of f' ( although you will be given graphs to f' to analyze at some point).
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student
so if f(x) tell us both f'(x) and f''(x) what will the graph of f'(x) help with?
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volunteer
You will eventually get questions asking you to analyze graphs of f'. I wouldn't worry about that right now. A graph of velocity is a graph of f'
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student
oh okay so, just tell me everything i need to know then, and then I'll let you go, When I have either a graph or a table, what are the steps I should take in order to find the right answer?
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volunteer
I am not sure what you are asking. We just did a question with table. If you look at a part of a graph where the curve is concave up, f" will be >0 there
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student
i was basically just asking you to recap our session in your own words meaning, just tell me first thing you look at is blah blah then it's this and that and to finish this and that, that's it
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volunteer
The most important thing is to remember that the derivative is a slope, the slope of a tangent line at a point. So if a fn is increasing, then f' will be positive. if f' is itself increasing over an interval, meaning the slopes are increasing, which means the second derivative will be >0, and that makes the curve look...
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volunteer
This should all become clearer as you do more problems.
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student
okay thank you!
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volunteer
You are very welcome.
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volunteer
Have a good rest of the day!
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student
YOu too!
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volunteer
bye
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volunteer
hello
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student
Greetings, Mr. David!
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[ { "pii_type": "PERSON", "surrogate": "Mr. David", "start": 11, "end": 20 } ]
student
How are you doing today?
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volunteer
ok,!,..what are we doin?
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student
Awesome!
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student
So, I have a Geometry assignment I have to complete.
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student
It shouldn't take that long.
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student
It's only a few questions.
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volunteer
famous last words
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student
?
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volunteer
being funny
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student
I did the rest of my HW earlier.
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student
oh
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student
haha
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student
May I post my assignment on the board
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volunteer
yes
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student
Mr. David
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[ { "pii_type": "PERSON", "surrogate": "Mr. David", "start": 0, "end": 9 } ]
student
also
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student
just letting u know
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student
my computer may freeze at times
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volunteer
my head may freeze too
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student
(It hasnt happened so far)
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student
oh lol
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student
same
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student
so i hope it wont happen
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student
and when my computer freezes it takes me like 10 minsfor it to work again
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student
ok
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student
one sec
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student
so before we assume
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student
my teacher wants us to do odds (thank god)
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volunteer
k
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volunteer
whats the question on 43?
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student
so i have to do 43, 47, 49
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student
and 53 and 54 (will post after)
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student
Mr. David
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[ { "pii_type": "PERSON", "surrogate": "Mr. David", "start": 0, "end": 9 } ]
student
so 5 problems
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student
thank*
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student
oops
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student
yeah
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student
the question
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student
Determine which line passing through the given points has a steeper slope.
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student
thats the question
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volunteer
ok so lets find the slopes of each using the y2-y1/x2-x1 method
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volunteer
can ya?
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student
yea
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student
0+4/7+9
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student
this slope is horizontal mu m=0
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student
no
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student
nevermind
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student
its not
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student
haha
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student
its 1/4
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student
for line 1
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student
for line 2
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student
4-1/7-0
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student
3/7 is the slope
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student
line 2 has a steeper slope right
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volunteer
yes, 3/7 is bigger that 1/4
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student
yay
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volunteer
assuming you did it right, ha
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student
i did it mentally lol
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student
im in Grade 10 honors
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[ { "pii_type": "GRADE_LEVEL", "surrogate": "Grade 10 honors", "start": 6, "end": 21 } ]
volunteer
ok
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student
im confused on 47
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volunteer
hows about 47
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volunteer
ill set it uyp
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student
ill find the slope on the first line
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student
-3/4
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volunteer
ok and set that equal to the next line slope form
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student
i dont quite get it
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volunteer
ok, see board
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student
yes
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student
-8
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student
y=-8?
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student
i did that off the top of my head
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volunteer
yes!!!!!!!!!!!!!!!!!!!!
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student
YAY
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volunteer
same thing for question 49
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student
could you show me how to do the work
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volunteer
only now they are negative reciprocals
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volunteer
k
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student
instead of doing it in your head
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volunteer
i simplifiy first
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