Find the Derivative f(x)=e^(-1/x)

Math
Move the negative in front of the fraction.
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 Exponential Rule which states that is where =.
Replace all occurrences of with .
Differentiate using the Product Rule which states that is where and .
Differentiate.
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Rewrite as .
Differentiate using the Power Rule which states that is where .
Multiply.
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Multiply by .
Multiply by .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
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Multiply by .
Add and .
Rewrite the expression using the negative exponent rule .
Combine and .
Find the Derivative f(x)=e^(-1/x)

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