Equating gradients

[bec]

Does anyone have/can anyone think up any questions that require us to find the value of a point on a graph by equating gradients?
I can't find any examples of it (otherwise I would put one up here so that I actually make sense...)

Thanks

[Collin Li]

That's a pretty ambiguous request? Haha. What do you mean?

[shinny]

Your request actually fits perfectly into any question that involves finding stationary points =P In those questions, you're just equating gradient to zero and finding those points ahah. For other values, it's the same process so I don't see why you need any specific practise.

[danieltennis]

I think she could be talking about hybrid functions and making the various functions continous with the same gradients?

[bec]

haha yeah I know, that was a pretty ambiguous request - I wasn't even totally sure of what I was looking for. I found an example of what i mean though:



Ever seen a question like that?

[dekoyl]

Mind posting rest of the question bec?

And no I haven't seen one like that so I'd like to attempt it. Thanks.

[danieltennis]

haha yeah I know, that was a pretty ambiguous request - I wasn't even totally sure of what I was looking for. I found an example of what i mean though:

(Image removed from quote.)

Ever seen a question like that?

This is from one of the VCAA exams. Not to sure what year. Maybe 2003?

[onlyfknhuman]

What the gook is that, geesus fug no idea 

[bec]

Oh sorry, it got cut off! I'm on a rolllllll tonight...

The question is VCAA 2005 CAS exam 1, Q4

"Show that "

[dekoyl]

What the gook is that

Gook. GOOK?

This is from one of the VCAA exams. Not to sure what year. Maybe 2003?

Thank you daniel.

Edit: Ah thanks bec!

[Mao]

Oh sorry, it got cut off! I'm on a rolllllll tonight...

The question is VCAA 2005 CAS exam 1, Q4

"Show that "

mmm i see. equating the gradient of AB and BC will yield this relationship.

from my knowledge, they may ask you [though it is very rare] for a composite function that "join smoothly"

if you want to prepare for these, grab a random function [say ] , pick a domain [say ], pick another function type [say ], now try to find values of those variables that makes the graphs join smoothly.

after you've done that a couple times, you'll have pretty good grasp of it.
hope that's what you wanted.

[bec]

Yeah thanks Mao but that's not really what I meant. I don't even know what I meant really, it was (again) just a note I had written to myself a while ago that "equating gradients" was something I had to work on.

So um...disregard this whole thread...? haha

[droodles]

dekoyl just derive the word with respect to 'O' and it won't be bad

[shinny]

Like that droodles?

[Collin Li]

2GOK