Answer :

f(x)=x4-x2-2x+6


f’(x)=4x3-2x-2


so here put f’(x)=0


4x3-2x-2=0


2(x-1)(2x2+2x+1)=0


x=1 and other roots are complex.


so we will consider x=1


Hence by second derivative test


f’’(x)>0 so it’s a point of minimum.


f”(x)=12x2-1


f” (1) =12(1)-2


=10>0


At x=1 minimum


So, f (1) =1-1-2(1) +6


=4


Option(B)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If the sum of theMathematics - Board Papers

A metal box with Mathematics - Board Papers

Show that aRD Sharma - Volume 1

Find the local maMathematics - Board Papers

Prove that the seMathematics - Board Papers

Prove that the raMathematics - Board Papers

Prove that the leMathematics - Board Papers