Register to reply 
Time derivatives 
Share this thread: 
#1
Mar912, 12:34 PM

P: 66

1. The problem statement, all variables and given/known data
My question is how do I take the time derivative of (theta dot)^2? 2. Relevant equations 3. The attempt at a solution Is the answer just 2(theta double dot)^1 or do you use chain rule 2(theta dot)*(theta double dot)? 


#2
Mar912, 12:40 PM

P: 129

Well, assuming theta is a function of time, you must use the chain rule!



#3
Mar912, 12:40 PM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,683

I take that your "dot" refers to differentiation with respect to time, t, I will use a prime since it is simpler here and you are asking about the derivative of [itex](\theta')^2[/itex].
The derivative of any [itex](f(t))^2[/itex] with respect to t is [itex]2f(t)f'(t)[/itex], by the chain rule, so the derivative of [itex](\theta(t)')^2[/itex] is [itex]2(\theta')(\theta'')[/itex]. 


Register to reply 
Related Discussions  
Time Derivatives of Unit Vectors  Calculus & Beyond Homework  2  
Looking for Lagrangian Systems with Higher Order Time Derivatives  Classical Physics  0  
Why no EOM in QFT with higher than second order derivatives in time and space?  Quantum Physics  4  
Help understanding derivatives of time; chain rule.  Introductory Physics Homework  1  
Time derivatives where there's no explicit time dependence  Calculus  2 