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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.
so how do you work it out?
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.
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 ???
What class of functions do you have there?
??? class function? do you mean like grade?? coz that a level
No, I mean what kind of functions do you consider?
what function :S i dont know what you mean
You want to find the minima of some functions, which functions are that?
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?
Do you mean y = 7x+6 ?
soz its y=x^2-7x+6 soz i didnt know till you told me
Then you can see it algebraically by the method of completing the quadratic. Do you know that?
I mean, completing the square ^^
thats it??? so whenever i see a qs like this its just completing the square??
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
If the parabola is the other way around there is no minimum and a maximum instead.
ok thanks i still use completing the square to find it right thanks
yes, only you will have a minus sign in front of the square