Solve \epsilon = \epsilon ^{(0)} - v*p

Evaluate

ϵ = ϵ^{0} - v p

Simplify

ϵ = 1 - v p

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

\frac{\partial ϵ}{\partial v} = \frac{\partial}{\partial v} (1 - v p)

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 ϵ}{\partial v} = \frac{\partial}{\partial v} (1) - \frac{\partial}{\partial v} (v p)

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

\frac{\partial ϵ}{\partial v} = 0 - \frac{\partial}{\partial v} (v p)

Evaluate

More Steps

\frac{\partial ϵ}{\partial v} = 0 - p

Solution

\frac{\partial ϵ}{\partial v} = - p

Function