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Differentiation of the Univariate Functions

Explore the differentiation of univariate functions by understanding fundamental derivative rules and how to numerically compute derivatives in Python. This lesson helps you grasp concepts such as instantaneous rates of change, key derivative formulas, and how to visualize derivatives using libraries like SciPy and Matplotlib.

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Derivatives

A univariate function in mathematics is a function that takes an input variable and produces an output variable. Let’s suppose the position of a car is given by a univariate function f(x)=(x+2)(x−6)f(x) = (x+2)(x-6), where xx is time in seconds. In order to calculate the velocity v(x)v(x) of the car at any time xx, we need to compute the instantaneous rate of change of position f(x)f(x) with respect to time x ...