MAC1140 Lecture Notes - Lecture 2: Quotient Rule, Power Rule, Product Rule
9 Jan 2023
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Document Summary
Differentiation is a fundamental concept in calculus that involves finding the derivative of a function. The derivative of a function is a measure of how the function is changing at a given point. It is defined as the slope of the tangent line to the curve at that point. There are several different methods for finding derivatives, including the power rule, the product rule, the quotient rule, and the chain rule. These rules allow us to find the derivative of many different types of functions, including polynomial functions, trigonometric functions, and exponential functions. The derivative has many important applications in mathematics and science. It is used to find the maximum or minimum values of a function, to analyze the stability of systems, and to predict the behavior of systems over time. In addition to finding the derivative of a function, it is also possible to find higher-order derivatives, which give information about the curvature of the function.
