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

Problem

d(e(x/2))/d(x)

Solution

1. Identify the outer function as eu and the inner function as u=x/2

2. Apply the chain rule, which states that the derivative of eƒ(x) is eƒ(x)⋅d(ƒ(x))/d(x)

3. Differentiate the inner function x/2 with respect to x which results in 1/2

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

Final Answer

d(e(x/2))/d(x)=1/2*e(x/2)

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