[Steps Shown] Prove that the given function doesn’t satisfy Rolle’s Theorem. What hypothesis does it fail to satisfy? f(x)=1-(2-x)^2/3; [ 1,3


Question: Prove that the given function doesn’t satisfy Rolle’s Theorem. What hypothesis does it fail to satisfy?

\[f\left( x \right)=1-{{\left( 2-x \right)}^{2/3}}\] ; \[\left[ 1,3 \right]\]

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