What are derivates?

Answer 1

The spacial derivative is the measure of a quantity as and how it is being changed in space. This is different from a temporal derivative and partial derivative.

Answer 2

In calculus, a derivative is basically the slope of a function. For example the derivative of 3x + 1 is 3, and the derivative of 5x2 is 10x.

A derivative can also be a word derived (made) from another word. For example, "electricity" is a derivative of "electric".

A derivative can also be a compound made from another compound (as in chemistry).

Anything that "results from deviation" can be called a derivative. This basically means that if something is made from, or branches of something else, it can be called a derivative.

Answer 3

A derivative measures the amount a function's value changes as its input(s) vary. If you think of a two points from 7th grade math ( Y2-Y1 ) / ( X2-X1 ) gives you the slope of the secant line between these two points. This gives the average rate of change within that distance. Now we know y is a function of x (F(x)) so it varies only with its input of x thus any change in x corresponds directly to a change in y. Adding delta or change in value usually noted as (h). Thus we have F(x+h) so the same set up between two points applies as before ( and don't over think this as its the same exact thing as the second line). This then would be ( F(x+h)-F(x) ) / ( (X+h)-X ).

Now to the derivative.... as stated before a derivative measures the instant change of a function as its inputs vary. The change in in inputs = 0. The way we do that is by setting h=0. If you take a look at the equation then that would give us the same answer each time. (undefined because the x's in the denominator cancel each other and you are left to divide by zero...) This is where limits come in hand. Are you ready for it?

A derivative is the limit as h tends to zero.

Answer 4

The origin or descent of something, such as a word .