isi-entrance 2022 Q24

isi-entrance · India · UGA Stationary points and optimisation Find critical points and classify extrema of a given function

The function $x ^ { 2 } \log _ { e } x$ in the interval $( 0,2 )$ has:
(A) exactly one point of local maximum and no points of local minimum.
(B) exactly one point of local minimum and no points of local maximum.
(C) points of local maximum as well as local minimum.
(D) neither a point of local maximum nor a point of local minimum.

The function $x ^ { 2 } \log _ { e } x$ in the interval $( 0,2 )$ has:\\
(A) exactly one point of local maximum and no points of local minimum.\\
(B) exactly one point of local minimum and no points of local maximum.\\
(C) points of local maximum as well as local minimum.\\
(D) neither a point of local maximum nor a point of local minimum.

Paper Questions

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