In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...

The derivatives for any functions like polynomial, power, exponential, logarithmic and circular functions can be easily found by knowing the derivative for their base function. For example, the ...

A PHASE relation familiar to students of applied mathematics exists between a simple harmonic oscillation and its derivative. Similar relations exist between exponential functions and their ...

This is a preview. Log in through your library . Abstract In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein’s theorem for completely monotonic functions, some ...

Abstract: Digital PID control requires a differencing operation to implement the $D$ gain. In order to suppress the effects of noisy data, the traditional approach is ...