Solve n = a - p - ScanMath

Simplify

n = a - p

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

\frac{\partial n}{\partial a} = \frac{\partial}{\partial a} (a - 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 n}{\partial a} = \frac{\partial}{\partial a} (a) - \frac{\partial}{\partial a} (p)

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

\frac{\partial n}{\partial a} = 1 - \frac{\partial}{\partial a} (p)

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

\frac{\partial n}{\partial a} = 1 - 0

Solution

\frac{\partial n}{\partial a} = 1

N = a p