Solve f = c-p 1 - ScanMath

Evaluate

f = c - p \times 1

Any expression multiplied by 1 remains the same

f = c - p

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

\frac{\partial f}{\partial c} = \frac{\partial}{\partial c} (c - 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 f}{\partial c} = \frac{\partial}{\partial c} (c) - \frac{\partial}{\partial c} (p)

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

\frac{\partial f}{\partial c} = 1 - \frac{\partial}{\partial c} (p)

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

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

Solution

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

Function