Differentiation of funtion is rate of chnage of that funtion.
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In people, differentiation occurs during the fetal development in the uterus.
integration is reverse of differentiation and vice versa
( u(x+h) - u(x) )/ h
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.
For example, product differentiation might be necessary when a new laundry detergent is advertised.