Recall the mean value theorem (MVT). What does the MVT state, and what is the slope of the secant line passing through a function
a) The MVT states that for any continuous function, there exists a point in the interval where the instantaneous rate of change equals the average rate of change. The slope of the secant line passing through a function is the difference in function values divided by the difference in x-values.
b) The MVT states that for any differentiable function, there exists a point in the interval where the instantaneous rate of change equals the average rate of change. The slope of the secant line passing through a function is the difference in function values divided by the difference in x-values.
c) The MVT states that for any continuous function, the instantaneous rate of change equals the average rate of change. The slope of the secant line passing through a function is the tangent of the angle formed by the function and the x-axis.
d) The MVT states that for any differentiable function, the instantaneous rate of change equals the average rate of change. The slope of the secant line passing through a function is the tangent of the angle formed by the function and the x-axis.