A) \[{{S}_{1}}=\left\{ 2,1 \right\};{{S}_{2}}=\left\{ 0 \right\}\]
B) \[{{S}_{1}}=\left\{ 2,0 \right\};{{S}_{2}}=\left\{ 1 \right\}\]
C) \[{{S}_{1}}=\left\{ 2 \right\};{{S}_{2}}=\left\{ 0,1 \right\}\]
D) \[{{S}_{1}}=\left\{ 1 \right\};{{S}_{2}}=\left\{ 0,2 \right\}\]
Correct Answer: A
Solution :
\[\left( x \right)=9{{x}^{4}}+12{{x}^{3}}36{{x}^{2}}+25\] \['\left( x \right)=36{{x}^{3}}+36{{x}^{2}}72x\] \[=36x\left( {{x}^{2}}+x2 \right)\] \[=36x\left( x1 \right)\left( x+2 \right)\] Points of minima \[=\left\{ 2,1 \right\}={{S}_{1}}\] Point of maxima \[=\left\{ 0 \right\}={{S}_{2}}\]You need to login to perform this action.
You will be redirected in
3 sec