Rolle's Theorem is a fundamental theorem in calculus that states that if a function is continuous on a closed interval and differentiable on the open interval, then there exists at least one point within the interval where the derivative of the function is equal to 0.
To solve for c in Rolle's Theorem, you need to find the derivative of the function and set it equal to 0. Then, you can use algebraic methods to solve for c.
Finding c in Rolle's Theorem allows us to identify a point where the slope of the tangent line to the function is equal to 0. This can provide important information about the behavior of the function and can be used to solve other problems in calculus.
In this particular problem, we are given the interval [-1,3], which means we need to find c within this interval. However, Rolle's Theorem can be applied to any closed interval [a,b] where a < b.
Rolle's Theorem can only be applied to continuous functions that are differentiable on the open interval. This means that the function must be defined and have a derivative at every point within the interval.