Solve l = r - c - ScanMath

Simplify

l = r - c

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

\frac{\partial l}{\partial r} = \frac{\partial}{\partial r} (r - c)

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 l}{\partial r} = \frac{\partial}{\partial r} (r) - \frac{\partial}{\partial r} (c)

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

\frac{\partial l}{\partial r} = 1 - \frac{\partial}{\partial r} (c)

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

\frac{\partial l}{\partial r} = 1 - 0

Solution

\frac{\partial l}{\partial r} = 1

Function