how to increase function values through its derivetive

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we have a derivetive funtion df/dx .
i want to manipulate df/dx in a way to increase the values of the original function f(x) ,
in which way (or many ways if exists) should i move df/dx values in pupose to increase f(x) values .?
this is the graphe of the derivative df/dx throught x.
contexte: the increase of the f(x) throught its derivetive will serve me at the end to increase.
integral of f(x) along x.

Answers (1)

Star Strider
Star Strider on 24 Nov 2021
Do some simple experiments to see what produces the desired result —
syms k x
dx1 = 2*x; % Original Derivative
Idx1 = int(dx1) % Original Function
Idx1 = 
dx2 = k*dx1;
Idx2 = int(dx2) % Multiplies Original Function
Idx2 = 
dx3 = k + dx1;
Idx3 = expand(int(dx3)) % Introduces Trend (Slope) Plus Offset To Original Function
Idx3 = 
Experiment with variations on these (Symbolic Math Toolbox required here) to determine what works best.
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