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Math Help - Average Rate of Change Calc!!

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    Exclamation Average Rate of Change Calc!!

    OK how do i solve this? I am completely lost even how to approach it. A explanation/step by step method is desired. I am extremely grateful for any help!

    y=2x(sin2x+xcos2x)
    interval 0 less than or equal to x less than or equal to pi/2
    What is the average rate of change of y wiht respect to x in this interval?
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    Quote Originally Posted by painterchica16 View Post
    OK how do i solve this? I am completely lost even how to approach it. A explanation/step by step method is desired. I am extremely grateful for any help!

    y=2x(sin2x+xcos2x)
    interval 0 less than or equal to x less than or equal to pi/2
    What is the average rate of change of y wiht respect to x in this interval?
    Let y = f(x)

    so, f(x) = 2x( \sin 2x + x \cos 2x)

    the average rate of change between x = 0 and x = \frac {\pi}2 is given by

    \text{Average rate of change} = \frac {f \bigg( \frac {\pi}2 \bigg) - f(0)}{\frac {\pi}2 - 0}

    that is a general formula that you should know. look it up in your text. if they ask for "average rate of change", that's the formula they want you to use
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