(Anglų) : Partial derivative
Apibrėžimas amžius 18 lygis-ang. 3
If f(x, y) is a function of both x and y, then the partial derivative of f with respect to x, written [(∂f)/(∂x)], is:
This is equivalent to differentiating with respect to x and treating y as though it were a constant. It can also be written fx.
For example, if f(x, y) = x2 + xy + 2 y2,
then [(∂f)/(∂x)] = 2 x + y
We can define partial derivatives with respect to z, and of functions of three or more variables, in the same way.
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This is equivalent to differentiating with respect to x and treating y as though it were a constant. It can also be written fx.
For example, if f(x, y) = x2 + xy + 2 y2,
then [(∂f)/(∂x)] = 2 x + y
We can define partial derivatives with respect to z, and of functions of three or more variables, in the same way.
Finansuojamas: EU Socrates Minerva, HeyMath!, Cambridge University Press