- #1

RohanJ

- 18

- 2

- Homework Statement
- Use the definition of the total time derivative to

a) show that ##(∂ /∂q)(d/dt)f(q,q˙,t) = (d /dt)(∂/∂q)f(q,q˙,t)## i.e. these derivatives commute for any function ##f = f(q, q˙,t)##.

- Relevant Equations
- My approach is given below. Please tell if it is correct and if not , then what is the correct approach?

**Problem Statement:**Use the definition of the total time derivative to

a) show that ##(∂ /∂q)(d/dt)f(q,q˙,t) = (d /dt)(∂/∂q)f(q,q˙,t)## i.e. these derivatives commute for any function ##f = f(q, q˙,t)##.

**Relevant Equations:**My approach is given below. Please tell if it is correct and if not , then what is the correct approach?

I have got the terms for the left hand side but am stuck on the right hand side.

How to proceed after this if my approach is correct?