Solve x y-z=66 - ScanMath

Evaluate

x y - z = 66

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

\frac{\partial}{\partial x} (x y - z) = \frac{\partial}{\partial x} (66)

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}{\partial x} (x y) - \frac{\partial}{\partial x} (z) = \frac{\partial}{\partial x} (66)

Evaluate

More Steps

y - \frac{\partial}{\partial x} (z) = \frac{\partial}{\partial x} (66)

Evaluate

y - \frac{\partial z}{\partial x} = \frac{\partial}{\partial x} (66)

Find the partial derivative

y - \frac{\partial z}{\partial x} = 0

Move the expression to the right-hand side and change its sign

- \frac{\partial z}{\partial x} = 0 - y

Removing 0 doesn't change the value,so remove it from the expression

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

Solution

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

Solve the equation