Find the point {{MATH_183}} satisfying the conclusion of the Mean Value Theorem for the function {{MATH_184}} on the interval {{MATH_185}}. {{CMD_186}} We start by making note that the function {{MATH_187}} is continuous on the closed interval {{MATH_188}} and differentiable on the open interval {{MATH_189}}. That means the Mean Value Theorem does apply to this function. We calculate {{MATH_190}} and {{MATH_191}}. That means the average rate of change of {{MATH_192}} on the interval {{MATH_193}} is {{MATH_194}}.