Answer:
a) , b)
,
, c)
, d)
Step-by-step explanation:
a) Let derive the function:
is undefined when denominator equates to zero. The critical point is:
b) when numerator equates to zero. That is:
This equation shows two critical points:
,
c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that corresponds to a local maximum. (See Attachment)
d) By plotting the function, it is evident that corresponds to a local minimum. (See Attachment)
