Apply the quotient rule, which is:
dxdg(x)f(x)=g2(x)−f(x)dxdg(x)+g(x)dxdf(x)
f(x)=x−1 and g(x)=x+1.
To find dxdf(x):
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Differentiate x−1 term by term:
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The derivative of the constant −1 is zero.
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Apply the power rule: x goes to 1
The result is: 1
To find dxdg(x):
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Differentiate x+1 term by term:
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The derivative of the constant 1 is zero.
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Apply the power rule: x goes to 1
The result is: 1
Now plug in to the quotient rule:
(x+1)22