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

Problem

d(e(x2))/d(x)

Solution

1. Identify the outer function and the inner function to apply the Chain Rule. The outer function is eu and the inner function is u=x2

2. Apply the Chain Rule, which states that the derivative of eƒ(x) is eƒ(x) multiplied by the derivative of ƒ(x)

3. Differentiate the inner function x2 using the Power Rule, which gives 2*x

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

Final Answer

d(e(x2))/d(x)=2*x*e(x2)

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