Let $f(x)=\left\{\begin{matrix}6,&a

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

Let $f(x)=\left\{\begin{matrix}6,&x≤1\\7-x,&x>1\end{matrix}\right.$. Then for f(x), x = 1 is:

Options:

A point of local maxima

A point of local minima

Neither a point of local minima nor maxima

A stationary point

Correct Answer:

Neither a point of local minima nor maxima

Explanation:

Clearly x = 1 is not a max.

Check value in small neighbourhood around it.

Hence no local maxima and no local minima