Solve k = \omega 2m

Evaluate

k = ω \times 2 m

Use the commutative property to reorder the terms

k = 2 ωm

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

\frac{\partial k}{\partial ω} = \frac{\partial}{\partial ω} (2 ωm)

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

\frac{\partial k}{\partial ω} = 2 m \times \frac{\partial}{\partial ω} (ω)

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

\frac{\partial k}{\partial ω} = 2 m \times 1

Solution

\frac{\partial k}{\partial ω} = 2 m

Function