How can I solve for the x force component in this force expression?

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SUMMARY

The discussion centers on deriving the x force component exerted by an oxygen atom from a given force expression. The user has successfully tackled the partial derivative but is struggling to derive the x component. A key point raised is the dual meaning of "derive" in mathematics, which can refer to both taking a derivative and obtaining an equation through algebraic manipulation. The user is advised to clarify their approach to ensure they are applying the correct mathematical operation.

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  • Knowledge of algebraic manipulation techniques
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Jorzef
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Homework Statement
Derive the expression to the x force component exerted by an oxygen atom of a molecule j over the oxygen atom of a i molecule knowing that the force expression is given by (equation on attempt at a solution)
Relevant Equations
Equations on attempt at a solution
1589488081001.png


Hello everyone, I'm stuck doing this problem, I've tackled the partial derivative but i can't figure out the derive for x component part, i solved the partial derivative part, i came to this result:
1589488302634.png

What do can i do from here on, thank you!
 
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Jorzef said:
Homework Statement:: Derive the expression to the x force component exerted by an oxygen atom of a molecule j over the oxygen atom of a i molecule knowing that the force expression is given by (equation on attempt at a solution)
Relevant Equations:: Equations on attempt at a solution

View attachment 262781

Hello everyone, I'm stuck doing this problem, I've tackled the partial derivative but i can't figure out the derive for x component part, i solved the partial derivative part, i came to this result:
View attachment 262782
What do can i do from here on, thank you!
"Derive" has two meanings in mathematics. It can mean the differential calculus operation of taking a derivative, or it can simply mean to obtain one equation from others by algebraic means.
I have the feeling you have applied the wrong one.
 

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