The area of a circle as a function of radius is A(r) =Πr² , with area measured in cm² and radius measured in centimeters. Find the derivative of area with respect to radius. On a geometric diagram, illustrate the area corresponding to Δ A = A(r + Δr) − A(r). What is a geometric interpretation of the derivative? Do the units make sense?

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A: To find  The derivative of h(x)

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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: