- #1
Ananthan9470
- 32
- 0
Suppose you have a parameterized muli-varied function of the from ##F[x(t),y(t),\dot{x}(t),\dot{y}(t)]## and asked to find ##\frac{dF}{dt}##, is this the correct expression according to chain rule? I am confused because of the derivative terms involved.
##\frac{dF}{dt}=\frac{\partial F}{\partial x} \frac{dx}{dt} + \frac{\partial F}{\partial y} \frac{dy}{dt}##
Or similar terms containing ##\dot{x}(t)## etc should also be included or it is something else altogether?
##\frac{dF}{dt}=\frac{\partial F}{\partial x} \frac{dx}{dt} + \frac{\partial F}{\partial y} \frac{dy}{dt}##
Or similar terms containing ##\dot{x}(t)## etc should also be included or it is something else altogether?