Solve 1l = dm^3 - ScanMath

Evaluate

1 \times l = d m^{3}

Any expression multiplied by 1 remains the same

l = d m^{3}

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

\frac{\partial l}{\partial d} = \frac{\partial}{\partial d} (d m^{3})

Use differentiation rule \frac{\partial}{\partial x} (c f (x)) = c \times \frac{\partial}{\partial x} (f (x))

\frac{\partial l}{\partial d} = m^{3} \times \frac{\partial}{\partial d} (d)

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

\frac{\partial l}{\partial d} = m^{3} \times 1

Solution

\frac{\partial l}{\partial d} = m^{3}

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