Solve p(x)=(p-v)x-f

Evaluate

p (x) = (p - v) x - f

Simplify

More Steps

p (x) = x p - xv - f

Evaluate

p (x) = p x - vx - f

Take the derivative of both sides

p^{'} (x) = \frac{d}{d x} (p x - vx - f)

Use differentiation rule \frac{d}{d x} (f (x) \pm g (x)) = \frac{d}{d x} (f (x)) \pm \frac{d}{d x} (g (x))

p^{'} (x) = \frac{d}{d x} (p x) + \frac{d}{d x} (- vx) + \frac{d}{d x} (- f)

Calculate

More Steps

p^{'} (x) = p + \frac{d}{d x} (- vx) + \frac{d}{d x} (- f)

Calculate

More Steps

p^{'} (x) = p - v + \frac{d}{d x} (- f)

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

p^{'} (x) = p - v + 0

Solution

p^{'} (x) = p - v

Function