Find the Derivative – d/dn 1/(n natural log of n)

Math
Rewrite as .
Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
Differentiate using the Product Rule which states that is where and .
The derivative of with respect to is .
Differentiate using the Power Rule.
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Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Differentiate using the Power Rule which states that is where .
Multiply by .
Rewrite the expression using the negative exponent rule .
Simplify.
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Apply the product rule to .
Apply the distributive property.
Combine terms.
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Multiply by .
Combine and .
Cancel the common factor of and .
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Multiply by .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Reorder terms.
Find the Derivative – d/dn 1/(n natural log of n)

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