Final answer:
The derivative of xy with respect to x is x*(dy/dx) + y.
Step-by-step explanation:
The derivative of xy with respect to x can be found using the product rule. The product rule states that if you have two functions u(x) and v(x), then the derivative of their product uv(x) is given by:
d/dx(uv) = u*(dv/dx) + v*(du/dx)
In this case, u(x) = x and v(x) = y. Taking the derivatives of u(x) and v(x) with respect to x gives du/dx = 1 and dv/dx = dy/dx. Therefore, the derivative of xy with respect to x is:
d/dx(xy) = x*(dy/dx) + y