Differentiate both sides of the equation.

Differentiate using the Power Rule which states that is where .

Since is constant with respect to , the derivative of with respect to is .

Differentiate using the Product Rule which states that is where and .

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 Constant Multiple Rule.

Since is constant with respect to , the derivative of with respect to is .

Simplify the expression.

Move to the left of .

Rewrite as .

Rewrite as .

Rewrite as .

Simplify.

Apply the distributive property.

Multiply by .

Reorder terms.

Reform the equation by setting the left side equal to the right side.

Rewrite the equation as .

Reorder factors in .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Divide each term by and simplify.

Divide each term in by .

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

Factor out of .

Rewrite as .

Factor out of .

Rewrite negatives.

Rewrite as .

Move the negative in front of the fraction.

Reorder factors in .

Replace with .

Find dx/dy y=3xe^(-kx)