Final answer:
To find dy in terms of dx, we can take the derivative of the given equation. The derivative of 2x is 2, and the derivative of 9/x^2 is -18/x^3. Therefore, the equation for dy in terms of dx is dy/dx = 2 + 18/x^3.
Step-by-step explanation:
The equation for dy in terms of dx can be found by taking the derivative of y with respect to x.
First, let's rewrite the equation: y = 2x - (9/x^2)
Taking the derivative, we have: dy/dx = d/dx(2x) - d/dx(9/x^2)
The derivative of 2x is simply 2, and the derivative of 9/x^2 can be found using the power rule: d/dx(9/x^2) = -18/x^3
Putting it all together, we have: dy/dx = 2 - (-18/x^3) = 2 + 18/x^3