jee-main 2019 Q81

jee-main · India · session2_08apr_shift1 Stationary points and optimisation Find critical points and classify extrema of a given function

If $S_1$ and $S_2$ are respectively the sets of local minimum and local maximum points of the function, $f(x) = 9x^4 + 12x^3 - 36x^2 + 25$, $x \in R$, then
(1) $S_1 = \{-2\}$; $S_2 = \{0, 1\}$
(2) $S_1 = \{-1\}$; $S_2 = \{0, 2\}$
(3) $S_1 = \{-2, 0\}$; $S_2 = \{1\}$
(4) $S_1 = \{-2, 1\}$; $S_2 = \{0\}$

If $S_1$ and $S_2$ are respectively the sets of local minimum and local maximum points of the function, $f(x) = 9x^4 + 12x^3 - 36x^2 + 25$, $x \in R$, then\\
(1) $S_1 = \{-2\}$; $S_2 = \{0, 1\}$\\
(2) $S_1 = \{-1\}$; $S_2 = \{0, 2\}$\\
(3) $S_1 = \{-2, 0\}$; $S_2 = \{1\}$\\
(4) $S_1 = \{-2, 1\}$; $S_2 = \{0\}$

Paper Questions

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