Potential Energy: Differentiating to Find Force

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omarMihilmy
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To find the force we will differentiate the function with respect to x (dx)
My problem is with the solution
If we differentiate:
dU/dx = 9x^2 - 7

From where does the negative come from also the j component?
 
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You should have used the homework template, then you have written the relevant equations. What equation is relevant for finding force from potential energy?
 
Why are you disregarding the y-component when you differentiate?