Solve x=5y-7z 8 - ScanMath

Evaluate

x = 5 y - 7 z \times 8

Multiply the terms

x = 5 y - 56 z

Find the first partial derivative by treating the variable z as a constant and differentiating with respect to y

\frac{\partial x}{\partial y} = \frac{\partial}{\partial y} (5 y - 56 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 x}{\partial y} = \frac{\partial}{\partial y} (5 y) - \frac{\partial}{\partial y} (56 z)

Evaluate

More Steps

\frac{\partial x}{\partial y} = 5 - \frac{\partial}{\partial y} (56 z)

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

\frac{\partial x}{\partial y} = 5 - 0

Solution

\frac{\partial x}{\partial y} = 5

Function