Question

can rolle's theorem be applied for the function f(x)=1-(x-3)^2/3interv [2,4]​

Answer 1

Answer:

$f'(x) = 0 - \frac{2}{3} {(x - 3)}^{ \frac{2}{3} - 1} \\ = \frac{2}{3} {(x - 3)}^{ - \frac{1}{3} } \\ = \frac{2}{3 {(x - 3)}^{ \frac{1}{3} } } \\ so \: f(x) \: is \: not \: differentiable \: at \: x \: = 0 \\ hence \: rolles \: theorem \: is \: not \: applicable.$

Answer 2

Answer:

x = 0 ..................