Solve u=q-w - ScanMath

Simplify

u = q - w

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

\frac{\partial u}{\partial q} = \frac{\partial}{\partial q} (q - w)

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 u}{\partial q} = \frac{\partial}{\partial q} (q) - \frac{\partial}{\partial q} (w)

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

\frac{\partial u}{\partial q} = 1 - \frac{\partial}{\partial q} (w)

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

\frac{\partial u}{\partial q} = 1 - 0

Solution

\frac{\partial u}{\partial q} = 1

Function