Respuesta :

Answer:

'x' is the independent variable.

Step-by-step explanation:

For a differentiable function of one variable, y = f(x), the independent variable is 'x'. In this context, the independent variable is the variable that you can freely choose or manipulate, and its value determines the value of the dependent variable, which in this case is 'y'. The function 'f' describes how 'y' depends on 'x'.

Final answer:

In a differentiable function of one variable, the independent variable is x. It represents the input or the domain of the function.

Explanation:

In the context of a differentiable function of one variable, y = f(x), the independent variable is x.

The independent variable is the variable that can be freely chosen and varied, and it typically represents the input or the domain of the function. In this case, x is the input value that is used to determine the corresponding output value y.

For example, if we have the function y = 2x + 3, x is the independent variable because we can choose different values for x and calculate the corresponding values for y.

The independent variable is vital in understanding the behavior and properties of a function, such as its domain, range, and graph.