Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:
The least possible value of \(a\) for which the function \(f(x)=x^{2}+ax+1\) may be increasing in the interval \([1,0]\) is
Options:
\(2\)
\(1\)
\(0\)
\(-2\)
Correct Answer:
\(-2\)
Explanation:
\(f^{\prime}(x)=2x+a\hspace{10cm}\) For \(a=-2\) then \(f^{\prime}(x)=2x-2>0\) for \(x>1\)