Is "y" a function of "x"? YouTube
What Defines Y As A Function Of X. Web the equation $$ \tag{1}x^3+y^3=6xy $$does define $y$ as a function of $x$ locally (or, rather, it defines $y$ as a function of $x$ implicitly). Web i understand the method used in implicit differentiation, it's just an application of the chain rule.
Web in this case, y is the dependent variable of the function and x is the independent variable of the function. Web so the way they've written it, x is being represented as a mathematical function of y. Web a function is a relation in which each input has only one output. For example, f(x)=2x is the same thing as y=2x. We can forgive a get help from expert. Web by definition x is a logarithm, and there is thus a logarithmic function that is the inverse of the exponential function. In a function, f(x) means the function of x. At the top we said that a function was like a machine. Web i understand the method used in implicit differentiation, it's just an application of the chain rule. A function defines one variable in terms of another.
Web i understand the method used in implicit differentiation, it's just an application of the chain rule. A function defines one variable in terms of another. Web the equation $$ \tag{1}x^3+y^3=6xy $$does define $y$ as a function of $x$ locally (or, rather, it defines $y$ as a function of $x$ implicitly). We could even say that x as a function of y is equal to y squared plus 3. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one. Web defines y as a function of x, because for every x value there is no more than a y value. Web by definition x is a logarithm, and there is thus a logarithmic function that is the inverse of the exponential function. Here, it is difficult to. Now, let's see if we can do it the other way around, if we can represent y as a function of x. Web the uniqueness of y values has nothing to do with the question of whether y is a function of x. Web a function defines one variable in terms of another.
