In mathematics, the value of the derivative is calculated according to the following simple formula :

Where :

x0 — current value of the argument,
x — value of the argument to the right of the chart,
f(x0) — value of the function at point x0,
f(x) — value of the function at point х.
In the original definition the difference between x and x0 is infinitesimal, i.e. the limit of the function is used. Using the formula (1), it is possible to calculate the approximate value of the derivative using the function values, avoiding direct differentiation.

Regarding the price chart, x0 is the current bar, and x is the upcoming bar, which will be formed after a number of chart periods. Respectively, f(x0) is the price value on the current bar, and f(x) is the price value of the upcoming bar. We find that (1) contains two unknowns — f(x0) and f(x). Since we do not have additional expressions which contain the same two unknowns, the solution of equation (1) in this case is absent.

Known values must be taken as f(x) and f(x0) to make it possible to find the derivative f'(x0). For that purpose, it is necessary to take a point to the left of the current bar as x0, and to designate the current bar as x. As a result, f(x0) and f(x) become certain values (prices at points x and x0 correspond to the price values visible on the chart).

Although, the calculated value will characterize an area already known to a trader, in which the price growth or fall can be judged without the help of the derivative. In this case the useful information is not just the value of the derivative, but the comparison of two values of the derivative at adjacent bars. In case the signs of the calculated values are different the price had passed an extremum. The type of the extremum can be easily determined using the combination of signs: transition from a negative value to a positive value is minimum, positive to negative — maximum.

The described principle of calculation of a derivative is implemented in the Derivative indicator. As a result, it displays the difference of prices between the examined bar and the bar spaced from the examined one by a number of bars set in the "Delay" parameter.

Source : MQL5

Derivative Oscillator is a Forex Trading indicator. The Derivative Oscillator is a very simple Forex Trading indicator.
The Derivative Oscillator should be used combined with other Indicators as well. This is just an Oscillator indicator, it will tell you about the Momentum of the Market. Although this indicator can be used in any kinds of Market conditions, you are recommended to Trade in a Trending Market so that you will have the odds of winning in your favor. You should be very careful while trading with Derivative Oscillator as this system can give you false signals many times. So, you should consider many other factors rather than just jumping in a Trade solely based on this indicator.

Derivative Oscillator is nothing more than a Histogram chart that fluctuates in Positive and Negative territory.
When the histogram is in Negative territory, it indicates Bearish sentiment in the Market while when the histogram is in Positive territory; it indicates Bullish sentiment in the Market.

Source : Dominic Walsh

mntiwana wrote: Fri May 05, 2017 1:37 pm Hi Tsar
Thanks for your contributions and continuous relations with your old friends
then more thanks for starting our old forgotten but pretty thread
derivative oscillator alerts
This version is interpolated mtf with alerts