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 $f=x$ and $g=e^{\left(xy-2\right)}$
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$\frac{d}{dx}\left(x\right)e^{\left(xy-2\right)}+x\frac{d}{dx}\left(e^{\left(xy-2\right)}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of xe^(xy-2). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=e^{\left(xy-2\right)}. The derivative of the linear function is equal to 1. 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.