Curve sketching question (1 Viewer)

[trapizi]

So I just finished my 4U trial today and my teacher put a question about graphing the derivative y=f'(x) of the given function y=f(x) . The function look like this:

Can anybody show me how the derivative graph of this function look like? Thanks!!!

 

[photastic]

I got a question, would can you approach it the same as 2u, like SP becomes roots, POI becomes SP and HPOI becomes both root and SP?

 

[gahyunkk]

Is it something like this?
Someone Correct me if im wrong


Ive got my 4u trial tmr and i feel like im so screwed ((((

 

[rumbleroar]

where there are turning points on f(x), an x-int will exist on f'(x). for triple roots, a double root will exist on f'(x)?

 

[emilios]

Is it something like this?
Someone Correct me if im wrong
View attachment 30719

Ive got my 4u trial tmr and i feel like im so screwed ((((

This is correct. I got the exact same thing.

 

[emilios]

Really? They put a simple year 11 2 unit question in the Ext 2 paper?

... graphing derivative functions when you're not given an equation is a perfectly standard 4U type question. It can be a lot trickier than some of the other stuff they test in the Graphs topic.

 

[panda15]

... graphing derivative functions when you're not given an equation is a perfectly standard 4U type question. It can be a lot trickier than some of the other stuff they test in the Graphs topic.

I've never seen one in a 4U paper, but I have seen it in a 2U paper. It would be VERY easy marks in a 4U paper.

 

[photastic]

I've never seen one in a 4U paper, but I have seen it in a 2U paper. It would be VERY easy marks in a 4U paper.

Something like this was in our trials lols

 

[braintic]

... graphing derivative functions when you're not given an equation is a perfectly standard 4U type question. It can be a lot trickier than some of the other stuff they test in the Graphs topic.

No asymptotes - that is a 2 unit standard question. A 4 unit student should not have any difficulty with that one.

 

[photastic]

No asymptotes - that is a 2 unit standard question. A 4 unit student should not have any difficulty with that one.

Perhaps a better 4 unit question is find the log of its reciprocal.

 

[braintic]

Perhaps a better 4 unit question is find the log of its reciprocal.

I guess that would test how many people spot the quick way.

But yes, any composite function question would be harder than this.