Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

If $f(x)=\left\{\begin{matrix}x^2+1&0≤x<1\\-3x+5&1≤x≤2\end{matrix}\right.$

Options:

It has a relative minimum at x = 1

It has a relative maximum at x = 1

It is not continuous at x = 1

None of these

Correct Answer:

It has a relative maximum at x = 1

Explanation:

Relative maximum at x = 1

Continuous but not diff. at x = 1

Hence graph method must be used.