Undergrad Applying Chain Rule to a function of two variables

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The discussion centers on the application of the chain rule to second-order derivatives in functions of two variables. The original poster expresses confusion about how to apply the chain rule in this context, specifically seeking clarification. They indicate familiarity with finding the first derivative but are unable to elaborate further due to time constraints. A link to a related thread is provided for additional guidance on the topic. Understanding the chain rule for second derivatives is essential for solving complex problems in multivariable calculus.
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Hello,

Here is the question:
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I can not figure out how we are to apply chain rule to the second order derivative. May somebody clarify that?
 
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Do you know how to solve this if it were only asking you to find ##\frac {d\omega} {dt}##?
 
Yes, I do know that.
 

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