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Differential calculus is a sub-field of calculus concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus.

The primary objects of study in differential calculus are the derivative of a function, related notions such as the differential, and their applications. The derivative of a function at a chosen input value describes the rate of change of the function near that input value. The process of finding a derivative is called differentiation.

Differentiation has applications to nearly all quantitative disciplines. For example, in physics, the derivative of the displacement of a moving body with respect to time is the velocity of the body, and the derivative of velocity with respect to time is acceleration. 

vCalc's Differential folder contains content concerned with rate of change for quantities.

Parent Categories:

Differential Equations

  • Derivative - `ax^r` by vCalc
  • Derivative - `e^x` by vCalc
  • Derivative - `x^r` by vCalc
  • The Power Rule by vCalc