Final answer:
To evaluate dy for the given values of x and dx, use the equation of the path to express y and dy in terms of x and dx.
Step-by-step explanation:
To evaluate dy for the given values of x and dx, we need to use the equation of the path to express y and dy in terms of x and dx.
Let's assume the equation of the path is y = f(x), where f(x) represents a function of x that describes the path. To evaluate dy, we can use the derivative of y with respect to x, which is given by dy = f'(x) * dx.
For example, if the equation of the path is y = 2x^2, then the derivative is f'(x) = 4x. If we have x = 3 and dx = 0.5, we can substitute these values into the equation dy = f'(x) * dx to find the value of dy.