In the last lesson, we saw that the derivative was the rate of change and that the derivative of a straight line is a constant. Let's explore non-linear functions and their derivatives in this lesson!

Not all functions are linear. There are many non-linear functions which can't be modeled by a single straight line. However, locally, all the non-linear functions can be modeled by the linear ...

When estimating derivatives of regression functions from noisy data, a number of additional problems arise compared with the estimation of the regression function itself. Linear methods, such as ...

This article aims at non-asymptotically and robustly estimating the fractional integral and derivative of the state for a class of integer order linear systems in noisy environment using the ...

Yik-Man Chiang, Shao-Ji Feng, On the Growth of Logarithmic Differences, Difference Quotients and Logarithmic Derivatives of Meromorphic Functions, Transactions of the American Mathematical Society, ...

Linear time-varying differential equations that arise in the study of model reference adaptive identification problems are studied in both the continuous-time and the discrete-time frameworks. The ...