If the function f(x) is differentiable and

f(x)=

{ax^3 + 6x, if x≤1

{

then a =

What do I do?? No idea what's going on..

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- January 4th 2009, 09:57 AMelpermicHave no idea what to do..
If the function f(x) is differentiable and

f(x)=

{ax^3 + 6x, if x≤1

{

then a =

What do I do?? No idea what's going on.. - January 4th 2009, 10:02 AMChris L T521
You need to do two things.

First, in order for it to be differentiable, it must be continuous at that point.

So you want to see where .

Then. For it to be differentiable at that point, the slopes of the two piecewise functions must be the same at that point. This means that

You will then be able to come up with a system of equations. Now you can solve it for a.

Does this make sense? Can you take it from here? - January 4th 2009, 11:26 AMelpermic
I got my answer as b=4, a=2

I don't think it is right however.. - January 4th 2009, 11:47 AMChris L T521
- January 4th 2009, 11:48 AMskeeter
- January 4th 2009, 12:01 PMelpermic
a-b=-2

a-2b=-6 - January 4th 2009, 12:01 PMelpermic
- January 4th 2009, 12:33 PMskeeter
I get a = -2 also ... recheck the original function, make sure you copied it down correctly.

- January 4th 2009, 01:31 PMelpermic
Double checked, it is the same exact function as it says on my paper..

Don't know what's up with this one..