Theorem
A functionchanges most rapidly in the direction of
Proof
Ifand
then
since
is a unit vector.
whereis the angle between
and
Noteis a unit vector.
Henceis greatesat when
and
Theorem
A functionchanges most rapidly in the direction of
Proof
Ifand
then
since
is a unit vector.
whereis the angle between
and
Noteis a unit vector.
Henceis greatesat when
and