Mean Value Theorem Principles
According to the Mean Value Theorem, which of the following is true for a function f(x) that is continuous and differentiable between points A and B?
A
There exists a point between A and B at which the instantaneous rate of change equals the average rate of change over the interval.
B
There exists a point between A and B at which the instantaneous y-value equals the average y-value over the interval.
C
There exists a point between A and B at which the instantaneous position equals the average position over the interval.
D
There exists a point between A and B at which the instantaneous x-value equals the average x-value over the interval.
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