For a real-valued function of a single real variable, the derivative of a function at a point generally determines the best linear approximation to the function at that point.ĭifferential calculus and integral calculus are connected by the fundamental theorem of calculus, which states that differentiation is the reverse process to integration.ĭifferentiation has applications in nearly all quantitative disciplines. Geometrically, the derivative at a point is the slope of the tangent line to the graph of the function at that point, provided that the derivative exists and is defined at that point. The process of finding a derivative is called differentiation. The derivative of a function at a chosen input value describes the rate of change of the function near that input value. The primary objects of study in differential calculus are the derivative of a function, related notions such as the differential, and their applications. It is one of the two traditional divisions of calculus, the other being integral calculus-the study of the area beneath a curve.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |