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

Problem

d()/d(x)*e^(−2*x)

Solution

1. Identify the function as a composition of the exponential function e^u and the linear function u=−2*x

2. Apply the chain rule, which states that d(e^u)/d(x)=e^u⋅d(u)/d(x)

3. Differentiate the inner function u=−2*x with respect to x to get d(u)/d(x)=−2

4. Multiply the derivative of the outer function by the derivative of the inner function.

5. Simplify the resulting expression.

Final Answer

d(e^(−2*x))/d(x)=−2*e^(−2*x)

Want more problems? Check here!