Higher order derivatives from "summary" of Differential Calculus by S Balachandra Rao
Higher order derivatives refer to the derivatives of a function that have been derived more than once. In other words, if we take the derivative of a function, we get its first derivative. If we then take the derivative of this first derivative, we get the second derivative. Continuing this process, we can obtain the third derivative, fourth derivative, and so on.
When we talk about higher order derivatives, we are essentially looking at how the rate of change of a function changes as we continue to differentiate it. Each derivative provides us with information about a different aspect of the function, such as its curvature, concavity, or rate of change.
For example, the first derivative gives us information about the slope of a function at a particular point. The second derivative tells us about the concavity of the function - whether it ...
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