Let f(x) = tan x. (a) Show that there is no point c in the interval (0, π) such that f '(c) = 0, even though f(0) = f(π) = 0. (b) Explain why the result in part (a) does not contradict Rolle’s Theorem

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: