Differentiating an Equation: 2x Double Dot?

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SUMMARY

The discussion centers around the differentiation of an equation involving the term "2x double dot," which indicates the second derivative of a function with respect to x. The user expresses confusion regarding the differentiation process, particularly how the left-hand side (LHS) of the equation leads to this result. The mention of the chain rule suggests that it plays a crucial role in the differentiation, and the user seeks clarification on the application of differentials to arrive at the correct outcome.

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  • Familiarity with the chain rule in calculus.
  • Knowledge of notation for derivatives, including first and second derivatives.
  • Ability to manipulate algebraic expressions involving derivatives.
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  • Review the chain rule in calculus for differentiating composite functions.
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likearollings
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Can anybody tell me how this is true.

THE FIRST X DOT IS SUPPOSED TO BE SQUARED!
http://img442.imageshack.us/img442/1264/80680201.jpg
THE FIRST X DOT IS SUPPOSED TO BE SQUARED!(I was given an equation and this is the LHS. I had to differentiate it with respect to x (i think) and this is the result, what is where the ... is?) I had to differentiate an equation and show it equaled another. I have got the RHS right, just can't work out how the LHS goes to 2x double dot

Any help is appreiciated

I suspect the chain rule is involved
 
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Hmmm, good question, I can get it if I play with differentials..
 
homology said:
Hmmm, good question, I can get it if I play with differentials..

is it even right? please have a play
 

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