Machine Learning with Spark - Second Edition
by Rajdeep Dua, Brian O'Neill, Stephen Boesch, Manpreet Singh Ghotra, Nick Pentreath
Differential calculus
At the core of calculus lie derivatives, where the derivative is defined as the instantaneous rate of change of a given function with respect to one of its variables. The study of finding a derivative is known as differentiation. Geometrically, the derivative at a known point is given by the slope of a tangent line to the graph of the function, provided that the derivative exists, and is defined at that point.
Differentiation is the reverse of Integration. Differentiation has several applications; like in physics, the derivative of displacement is velocity, and the derivative of velocity is acceleration. Derivatives are mainly used to find maxima or minima of a function.
Within machine learning, we deal with the functions ...
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