Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The value of c in Rolle's theorem for the function $f(x)=x^3-3x$ in the interval$[0, \sqrt{3}]$ is :

Options:

1

$±1$

$\frac{1}{3}$

$-1$

Correct Answer:

1

Explanation:

The correct answer is Option (1) → 1

$f(x)=x^3-3x$

$f'(x)=3x^2-3=0$

$⇒x=1$ so $c = 1$