How to Correctly Calculate Partial Differentiation

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SUMMARY

The forum discussion focuses on the correct calculation of partial differentiation, specifically addressing the differentiation of the function \((q-h^2+3)^4\). The user received confirmation that their approach to calculating the first partial derivative (pp1) is accurate, while a correction was noted regarding the second partial derivative (pp2), indicating a missing factor of negative one. This highlights the importance of careful attention to detail in differentiation processes.

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Kamo123
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Hello

Is what I have done calculated here correct? Please correct me if I have done something wrong.
Thanks in advance.
 

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  • pp2.png
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You have the fundamentals correct. I haven't gone over line by line for pp2. pp1 looks fine.
 
In the last line of pp1, it looks like you've forgotten the factor of negative one that comes from ##\frac{\partial}{\partial h}[(q-h^2+3)^4] ##
 

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