Final answer to the problem
$\frac{3}{2}e^{\left(\frac{1}{2}x^3+2\right)}x^{2}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Load more...
Can't find a method? Tell us so we can add it.
1
Simplify the derivative by applying the properties of logarithms
$\frac{d}{dx}\left(e^{\frac{1}{2}\left(x^3+4\right)}\right)$
Learn how to solve sum rule of differentiation 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 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 to the problem
$\frac{3}{2}e^{\left(\frac{1}{2}x^3+2\right)}x^{2}$
