Find the Derivative - d/dx f(x)=e^(-2x)

Problem

d(e(−2*x))/d(x)

Solution

1. Identify the function as a composition of an exponential function and a linear function, which requires the use of the Chain Rule.

2. Apply the Chain Rule, which states that the derivative of eu is eu⋅d(u)/d(x) where u=−2*x

3. Differentiate the inner function u=−2*x with respect to x which results in −2

4. Multiply the derivative of the outer function by the derivative of the inner function to find the final result.

Final Answer

d(e(−2*x))/d(x)=−2*e(−2*x)

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