Apply the quotient rule, which is:
dxdg(x)f(x)=g2(x)−f(x)dxdg(x)+g(x)dxdf(x)
f(x)=x2 and g(x)=x3.
To find dxdf(x):
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Apply the power rule: x2 goes to 2x
To find dxdg(x):
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Apply the power rule: x3 goes to 3x2
Now plug in to the quotient rule:
−x21