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

Move the negative in front of the fraction.
Differentiate using the chain rule, which states that is where and .
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.
Rewrite as .
Differentiate using the Power Rule which states that is where .
Multiply.
Multiply by .
Multiply by .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
Multiply by .