Question

Find the derivative of xy

Answer 1

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

Answer 2

Answer:

The derivative is: xdy + ydx

Step-by-step explanation:

Given the function xy, the derivative is obtained by product rule.

Hold x constant and differentiate y, plus hold y constant and differentiate x

`xdy+ydx`