Let f: R → R be a function defined

CUET Preparation Today

Start Free Mocks

Home Questions P3YHSDABBB

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

Let f: R → R be a function defined by $f(x)=max.\{x,x^3\}$. The set of all points where f(x) is not differentiable is

Options:

{–1, 1}

{–1, 1, 0}

{0, 1}

{–1, 0, 1}

Correct Answer:

{–1, 0, 1}

Explanation:

$f(x)=max.\{x,x^3\}$. From the graph, itself the function is not differentiable at {–1, 0, 1} due to the nature of the graph.