A) More than one minimum
B) Exactly one minimum
C) At least one maximum
D) None of these
Correct Answer: B
Solution :
\[f(x)=1+2{{x}^{2}}+{{2}^{2}}{{x}^{4}}+{{2}^{3}}{{x}^{6}}+{{...2}^{10}}{{x}^{20}}\] \[{f}'(x)=x(4+{{4.2}^{2}}{{x}^{2}}+....+{{20.2}^{10}}{{x}^{18}})\] \[\therefore \] \[{f}'(x)=0\] Þ \[x=0\] only. Also \[{f}''(0)>0\].You need to login to perform this action.
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