Solve z=60x 80y - ScanMath

Evaluate

z = 60 x \times 80 y

Multiply the terms

z = 4800 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} (4800 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} = 4800 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} = 4800 y \times 1

Solution

\frac{\partial z}{\partial x} = 4800 y

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