Solve x=2u-6v 1 - ScanMath

Evaluate

x = 2 u - 6 v \times 1

Multiply the terms

x = 2 u - 6 v

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

\frac{\partial x}{\partial u} = \frac{\partial}{\partial u} (2 u - 6 v)

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 u} = \frac{\partial}{\partial u} (2 u) - \frac{\partial}{\partial u} (6 v)

Evaluate

More Steps

\frac{\partial x}{\partial u} = 2 - \frac{\partial}{\partial u} (6 v)

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

\frac{\partial x}{\partial u} = 2 - 0

Solution

\frac{\partial x}{\partial u} = 2

Function