Question

what is a minimum point??
i first thought it was the root, but apparently not :S

Answer 1

It's the point where a function is minimal. So there it assumes no smaller value. This notion can be seen locally, so that in a neighbourhood of that point the function assumes no smaller value, or globally.

Answer 2

so how do you work it out?

Answer 3

If you have a differentiable function in the real numbers, you can find the local minima by finding the points where the derivative is zero. Of course you still have to check them, for example by looking at the second derivative, to make sure they are not saddle points.

Answer 4

but if you cant differentiate???
coz this is for C1 and we only learn to differentiate in C2
then is there another way of finding it ???

Answer 5

What class of functions do you have there?

Answer 6

???
class function?
do you mean like grade??
coz that a level

Answer 7

No, I mean what kind of functions do you consider?

Answer 8

what function :S
i dont know what you mean

Answer 9

You want to find the minima of some functions, which functions are that?

Answer 10

well, its state the coodinates of the minimum point on the graph of y-7x+6

that is the qs :S
is that what you wanted?

Answer 11

Do you mean y = 7x+6 ?

Answer 12

soz
its y=x^2-7x+6

soz i didnt know till you told me

Answer 13

Then you can see it algebraically by the method of completing the quadratic. Do you know that?

Answer 14

I mean, completing the square ^^

Answer 15

thats it???
so whenever i see a qs like this its just completing the square??

Answer 16

Yes :-)

Answer 17

thanks
wait for the minimum do you always need 2 no.?
and is there such thing as a maximum?
coz i know there is when differentiation

Answer 18

If the parabola is the other way around there is no minimum and a maximum instead.

Answer 19

ok thanks
i still use completing the square to find it right
thanks

Answer 20

yes, only you will have a minus sign in front of the square

Answer 21

ok
:)