Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=e^{\left(2x^2+4x-3y\right)}$ and $g=4x+4$
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$\frac{d}{dx}\left(e^{\left(2x^2+4x-3y\right)}\right)\left(4x+4\right)+e^{\left(2x^2+4x-3y\right)}\frac{d}{dx}\left(4x+4\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of e^(2x^2+4x-3y)(4x+4). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=e^{\left(2x^2+4x-3y\right)} and g=4x+4. Applying the derivative of the exponential function. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.