Determine whether Rolle's Theorem can be applied to f(x)= (x-3)(x+1)^2on [-1,3]. If so, find the values of c whose existence is guaranteed by the theorem

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Determine whether Rolle's Theorem can be applied to f(x)= (x-3)(x+1)^2on [-1,3]. If so, find the values of c whose existence is guaranteed by the theorem

Calculus1
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Rolle's theorem essentially states that a differentiable function which attains equal values at two distinct points must have a point somewhere between them where the first derivative (the slope of the tangent line to the graph of the function) is zero.
using that you could probably figure this out :)

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