Find the Derivative – d/dx e^(-1x)

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 Exponential Rule which states that is where =.
Replace all occurrences of with .
Differentiate.
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Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
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Move to the left of .
Rewrite as .
Differentiate using the Power Rule which states that is where .
Multiply by .
Find the Derivative – d/dx e^(-1x)

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