Solve z=x+y - ScanMath

Simplify

z = 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} (x + y)

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

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

\frac{\partial z}{\partial x} = 1 + \frac{\partial}{\partial x} (y)

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

\frac{\partial z}{\partial x} = 1 + 0

Solution

\frac{\partial z}{\partial x} = 1

Function