Final answer to the problem
$2\left(2e^{\left(x^2+4x\right)}\left(2x+4\right)+x\left(\left(2x+4\right)^2e^{\left(x^2+4x\right)}+2e^{\left(x^2+4x\right)}\right)\right)+4\left(\left(2x+4\right)^2e^{\left(x^2+4x\right)}+2e^{\left(x^2+4x\right)}\right)$
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Step-by-step Solution
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1
Find the ($1$) derivative
$2xe^{\left(x^2+4x\right)}+4e^{\left(x^2+4x\right)}$
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$2xe^{\left(x^2+4x\right)}+4e^{\left(x^2+4x\right)}$
Learn how to solve problems step by step online. Find the higher order (3) derivative of e^(x^2+4x). Find the (1) derivative. Find the (2) derivative. Simplifying. Find the (3) derivative.
Final answer to the problem
$2\left(2e^{\left(x^2+4x\right)}\left(2x+4\right)+x\left(\left(2x+4\right)^2e^{\left(x^2+4x\right)}+2e^{\left(x^2+4x\right)}\right)\right)+4\left(\left(2x+4\right)^2e^{\left(x^2+4x\right)}+2e^{\left(x^2+4x\right)}\right)$