Final Answer
$\frac{3}{2}e^{\left(\frac{1}{2}x^3+2\right)}x^{2}$
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Step-by-step Solution
Problem to solve:
$\frac{d}{dx}\left(\sqrt{e^{\left(x^3+4\right)}}\right)$
Specify the solving method
1
Simplifying
$\frac{d}{dx}\left(e^{\frac{1}{2}\left(x^3+4\right)}\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(e^{\frac{1}{2}\left(x^3+4\right)}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of e^(x^3+4)^1/2. Simplifying. 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
$\frac{3}{2}e^{\left(\frac{1}{2}x^3+2\right)}x^{2}$