Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be:(v) f(x) = x ^3 – 6x^ 2 + 9x + 15 (vi) x/2+2 /x , x>0
contexto.140
(v) Given:
and
Now
or [Turning points]
At [Negative]
is a point of local maxima and local maximum value is
At [Positive]
is a point of local minima and local minimum value is
(vi) Given:
=
= and
Now
= 0
or
But therefore is only the turning point.
is a point of local minima and local minimum value is