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

Problem

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

Solution

1. Identify the outer function and the inner function to apply the Chain Rule.

2. Apply the Chain Rule which states that (d(ƒ)*(g(x)))/d(x)=ƒ^′*(g(x))⋅g(x)^′

3. Differentiate the outer function e^u with respect to u which is e^u

4. Differentiate the inner function x^2 with respect to x which is 2*x

5. Multiply the results together to find the final derivative.

Final Answer

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

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