Find the Derivative - d/dy e^(2y)

Problem

d(e(2*y))/d(y)

Solution

1. Identify the rule needed for the differentiation, which is the chain rule for exponential functions.

2. Apply the formula for the derivative of eu which is d(eu)/d(y)=eu⋅d(u)/d(y)

3. Substitute u=2*y into the formula.

4. Differentiate the inner function 2*y with respect to y which results in 2

5. Multiply the results to find the final derivative.

Final Answer

d(e(2*y))/d(y)=2*e(2*y)

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