Sorry, antiderivative!
How do we get that antiderivative frm x2 = 1/3 x3???
By definition of exponentiation, , which is 1.
What exactly is f(x)? Do you mean that the derivative of f(x) is , or do you want to say that is a derivative of something else? My guess is that and its antiderivative (plus a constant). This is so because according to the power rule.
In plain text, you can write x^(2/3) to mean . Note the parentheses; x^2/3 means .
Y, all on the net write so, but I just dont understand how do we GET this! Till now I just have to lern it by memory! I cross the whole net, but cant find the simple explanation that I miss! What would be the definition? Ok, it is area, but I cant move from it!
By "this" do you mean the following question:By definition, an antiderivative of f is a function F such that F' = f. Since , the function is by definition an antiderivative of .
Definition of what? The definition of antiderivative is not an area. It is related to area by the Fundamental theorem of calculus.