DERIVED FUNCTION Meaning and
Definition
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A derived function, in mathematics, refers to a concept associated with calculus and is commonly used to describe how a function changes over its domain. It is obtained by differentiating the original function with respect to an independent variable. The derived function essentially quantifies the rate at which the original function is changing at any given point.
To obtain a derived function, one can utilize the fundamental principles of calculus, such as the power rule, product rule, quotient rule, and chain rule, depending on the complexity of the original function. These rules allow us to find the derivative of a function by calculating the instantaneous rate of change. The derived function may vary significantly depending on the mathematical expression being differentiated.
The derived function provides valuable information about the behavior of the original function. It can help identify important characteristics such as local extrema (maximum or minimum points), inflection points, and regions of concavity or convexity. Furthermore, the derived function allows us to determine whether a function is increasing or decreasing, and at what rate.
Overall, the derived function plays a crucial role in calculus as it enhances our understanding of the original function's properties and assists in solving a variety of mathematical problems. Its importance lies in its ability to provide insights into the behavior and rates of change of functions, enabling more accurate mathematical analysis and predictions in various fields such as physics, economics, engineering, and many more.
Common Misspellings for DERIVED FUNCTION
- serived function
- xerived function
- cerived function
- ferived function
- rerived function
- eerived function
- dwrived function
- dsrived function
- ddrived function
- drrived function
- d4rived function
- d3rived function
- deeived function
- dedived function
- defived function
- detived function
- de5ived function
- de4ived function
- deruved function
Etymology of DERIVED FUNCTION
The word "derived" in the context of "derived function" comes from the Latin word "derivare", which means "to derive" or "to come from". In mathematics, a derived function refers to a function that is obtained from another function by differentiating it or taking its derivative. The term "derived" is used to imply that the new function has been derived or obtained from the original function through a specific mathematical operation.
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