Solve 100z=xy - ScanMath

Evaluate

100 z = x y

Find \frac{\partial z}{\partial x} by taking the derivative of both sides with respect to x

\frac{\partial}{\partial x} (100 z) = \frac{\partial}{\partial x} (x y)

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

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

Find the derivative

100 \frac{\partial z}{\partial x} = \frac{\partial}{\partial x} (x y)

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

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

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

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

Multiply the terms

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

Divide both sides

\frac{100 \frac{\partial z}{\partial x}}{100} = \frac{y}{100}

Solution

\frac{\partial z}{\partial x} = \frac{y}{100}

Solve the equation