Solve 3x+y=z - ScanMath

Evaluate

3 x + y = z

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

\frac{\partial}{\partial x} (3 x + y) = \frac{\partial}{\partial x} (z)

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

Evaluate

More Steps

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

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

3 + 0 = \frac{\partial}{\partial x} (z)

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

3 = \frac{\partial}{\partial x} (z)

Find the derivative

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

Solution

\frac{\partial z}{\partial x} = 3

Solve the equation