Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The function $f(x)=x^3, x \in R,$ has

Options:

Maximum value at x= 0

Minimum value at x= 0

Maximum value at x= 1

Neither maximum nor maximum value at x=0

Correct Answer:

Neither maximum nor maximum value at x=0

Explanation:

$f(x)=x^3$

$f'(x)=3x^2=0⇒x=0$

No sign change in wavy curve method

⇒ 0 → Neither maximum/minimum point