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** Step-by-step Solution **

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Simplify the derivative by applying the properties of logarithms

Learn how to solve differential calculus problems step by step online.

$\frac{d}{dx}\left(e^{\frac{1}{2}\left(x^3+4\right)}\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of e^(x^3+4)^1/2. Simplify the derivative by applying the properties of logarithms. Applying the derivative of the exponential function. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.

** Final Answer

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