Re: finding minimum


mathforsweta@xxxxxxxxx wrote:
> Hello Everyone,
>
>
> I have m=min(a,1/2a)..I want to find the largest of m.
>

Of course you mean m=min(a,1/(2a)).

> I differentialted 1/2a with respect to a and set it equal to zero. That
> is what we do when we want to find maximum or minimum.
>

You found that the function 1/(2a) has no maximum, but the question was
about this function m. Neither a nor 1/(2a) have maxima on their own
but the function m does have a maximum.

> the true answer is a=1/sqrt(2)
>

Yes. That is where the two functions (a and 1/(2a)) intersect

a = 1/(2a) <-- solve that

Graph the two functions, then show what curve is "m".. it should be
clear.


> May be I am doing something wrong?
>
> Can somebody please help me with this problem?
>
> Thank you

.

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