Solve z=20x+10y - ScanMath

Simplify

z = 20 x + 10 y

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

\frac{\partial z}{\partial x} = \frac{\partial}{\partial x} (20 x + 10 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 z}{\partial x} = \frac{\partial}{\partial x} (20 x) + \frac{\partial}{\partial x} (10 y)

Evaluate

More Steps

\frac{\partial z}{\partial x} = 20 + \frac{\partial}{\partial x} (10 y)

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

\frac{\partial z}{\partial x} = 20 + 0

Solution

\frac{\partial z}{\partial x} = 20

Function