Solve W1=(X+Y)+(X+Y)

Evaluate

W \times 1 = (X + Y) + (X + Y)

Any expression multiplied by 1 remains the same

W = (X + Y) + (X + Y)

Simplify

More Steps

W = 2 X + 2 Y

Find the first partial derivative by treating the variable Y as a constant and differentiating with respect to X

\frac{\partial W}{\partial X} = \frac{\partial}{\partial X} (2 X + 2 Y)

Use differentiation rule \frac{\partial}{\partial x} (f (x) \pm g (x)) = \frac{\partial}{\partial x} (f (x)) \pm \frac{\partial}{\partial x} (g (x))

\frac{\partial W}{\partial X} = \frac{\partial}{\partial X} (2 X) + \frac{\partial}{\partial X} (2 Y)

Evaluate

More Steps

\frac{\partial W}{\partial X} = 2 + \frac{\partial}{\partial X} (2 Y)

Use \frac{\partial}{\partial x} (c) = 0 to find derivative

\frac{\partial W}{\partial X} = 2 + 0

Solution

\frac{\partial W}{\partial X} = 2

Function