A differential is the result gained when mathematical differentiation is applied to a function.
Differentiation in maths is the function which finds the gradient of a function in terms of x. Differentiation in Biology is the specialisation of unspecialised cells such as stem cells into active cells.
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integration is reverse of differentiation and vice versa
They are the same thing.
Differentiation: when you differentiate a function, you find a new function (the derivative) which expresses the old function's rate of change. For example, if f(x) = 2x, then the derivative f ' (x) = 2 for all x, because the function is always increasing by 2 units for every increase of x by 1 unit.A differential equation is an equation expressing a relationship between a named function and its derivatives. This can be as simple as y = y', where y is the original function and y' the derivative.
ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.
Differentiation lets you find the rate of change of a function. You can use this to find the maximum or minimum values of a differentiable function, which is useful in a lot of optimization problems. It's also necessary for differential equations, which are useful just about everywhere.