Solve z=250x 75y - ScanMath

Evaluate

z = 250 x \times 75 y

Multiply the terms

z = 18750 x 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} (18750 x y)

Use differentiation rule \frac{\partial}{\partial x} (c f (x)) = c \times \frac{\partial}{\partial x} (f (x))

\frac{\partial z}{\partial x} = 18750 y \times \frac{\partial}{\partial x} (x)

Use \frac{\partial}{\partial x} x^{n} = n x^{n - 1} to find derivative

\frac{\partial z}{\partial x} = 18750 y \times 1

Solution

\frac{\partial z}{\partial x} = 18750 y

Z=250x 75y