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Differentiation is a technique to measure the rate of change for curves, graphs, images, etc. You can determine the tangent or slope along a given direction.With this process, you can also check where the lower and upper values occur. The early applications of differentiation in calculus include planetary motion,... Differential calculus deals with the study of the rates at which quantities change. It is one of the two principal areas of calculus (integration being the other). Section 3-3 : Differentiation Formulas In the first section of this chapter we saw the definition of the derivative and we computed a couple of derivatives using the definition. As we saw in those examples there was a fair amount of work involved in computing the limits and the functions that we worked with were not terribly complicated. Differentiation in Calculus. Differentiation, in terms of calculus, can be defined as a derivative of a function regarding the independent variable and can be applied to measure the function per unit change in the independent variable. Let y = f(x) be a function of x. Then, the rate of change of “y” per unit change in “x” is given by ... Mar 12, 2011 · A video on the rules of differentiation. Derivatives - Power, Product, Quotient and Chain Rule - Functions & Radicals - Calculus Review - Duration: 1:01:58. The Organic Chemistry Tutor 923,437 views Differential calculus is the study of the definition, properties, and applications of the derivative of a function. The process of finding the derivative is called differentiation . Given a function and a point in the domain, the derivative at that point is a way of encoding the small-scale behavior of the function near that point.