Solve c=o-h - ScanMath

Simplify

c = o - h

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

\frac{\partial c}{\partial o} = \frac{\partial}{\partial o} (o - h)

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 c}{\partial o} = \frac{\partial}{\partial o} (o) - \frac{\partial}{\partial o} (h)

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

\frac{\partial c}{\partial o} = 1 - \frac{\partial}{\partial o} (h)

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

\frac{\partial c}{\partial o} = 1 - 0

Solution

\frac{\partial c}{\partial o} = 1

Function