Solve y=l1/3x-1/3l

Evaluate

y = l \times \frac{1}{3} x - \frac{1}{3} l

Use the commutative property to reorder the terms

y = \frac{1}{3} l x - \frac{1}{3} l

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

\frac{\partial y}{\partial l} = \frac{\partial}{\partial l} (\frac{1}{3} l x - \frac{1}{3} l)

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 y}{\partial l} = \frac{\partial}{\partial l} (\frac{1}{3} l x) - \frac{\partial}{\partial l} (\frac{1}{3} l)

Evaluate

More Steps

\frac{\partial y}{\partial l} = \frac{1}{3} x - \frac{\partial}{\partial l} (\frac{1}{3} l)

Solution

More Steps

\frac{\partial y}{\partial l} = \frac{1}{3} x - \frac{1}{3}

Function