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-- Mathematics - Section B1
Applications of Derivatives
The value of c in Rolle's theorem for the function $f(x)=x^3-3x$ in the interval$[0, \sqrt{3}]$ is :
1
$±1$
$\frac{1}{3}$
$-1$
The correct answer is Option (1) → 1
$f(x)=x^3-3x$
$f'(x)=3x^2-3=0$
$⇒x=1$ so $c = 1$