Use the Mean Value Theorem to prove that |sin(a)-sin(b)| ≤ |a-b| for all real values of a and b, a≠b

Описание: Mean Value Theorem. Use the Mean Value Theorem to prove that |sin(a)-sin(b)| ≤ |a-b| for all real values of a and b where a≠b. We learn how to answer this critical thinking question. We learn how to apply the Mean Value Theorem to a function. We first determine if the Mean Value Theorem can be applied. If it can not be applied, we state why. If the Mean Value Theorem can be applied, we first take the derivative of the function. We then set the derivative equal to (f(b)-f(a))/(b-a) and solve for x. Once we get these values we determine which ones are within our bounds of the problem. These values are the values of c that satisfy the Mean Value Theorem. This is a great introduction into the Mean Value Theorem. This is under the topic of Applications of Differentiation with this free online math video lesson. #MeanValueTheorem #findthevalueofc #ApplytheMeanValueTheorem #MVT #derivatives #calculus #calculushelp #minutemath #minutemathhelp #onlinemathlessons

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