To apply the Chain Rule, set as .

Differentiate using the Exponential Rule which states that is where =.

Replace all occurrences of with .

Rewrite as .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Differentiate using the Power Rule which states that is where .

Move to the left of .

Rewrite the expression using the negative exponent rule .

Combine and .

Combine and .

Move the negative in front of the fraction.

Find the Derivative – d/dx e^(1/(x^2))