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Mathematics 15 Online
OpenStudy (anonymous):

Can anyone help me with #7? http://teaching.danaernst.com/files/fall2012/136Exam2.pdf

OpenStudy (tkhunny):

Yes, but you must first explain why this does nto constitute cheating. During the exam, you are allowed to use a basic four function calculator (although, you probably won't need it), but you are not allowed to use a graphing calculator (or cell phone). Also, you are not allowed to use any notes during the exam. The only items you should have out during the exam are a couple of writing instruments (pencil or pen) and your student ID. It's not quite cleart to me how OpenStudy fits in with this description.

OpenStudy (anonymous):

This is an exam from a previous semester, he gave it to us to study for our exam on Monday. I know how to do everything but number 7.

OpenStudy (tkhunny):

Definition Problem: h(x) = f(x)*g(x) h'(x) = ??? Use the Product Rule. k(x) = f(g(x)) k'(x) = ??? Use the Chain Rule

OpenStudy (anonymous):

Ok I got h'(x)=f'(x)(g(x))+g'(x) and k'(x)=f'(g(x))*g'(x)

OpenStudy (tkhunny):

Not quite: h'(x) = f'(x)g(x) + g'(x)f(x) Evaluate these expressions where the problem statement suggests.

OpenStudy (anonymous):

Oh ok. But I still don't know what to do next. Do I have to figure out the equation of the graphs?

OpenStudy (tkhunny):

Just fill in the values with your best guess. It appears to me that f(1) = -1, f'(1) = 0, g(1) = 0, and g'(1) = -1. You can assemble h(1) and h'(1) from this information.

OpenStudy (anonymous):

Alright thanks a bunch. You were very helpful :)

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