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Need help solving this derivative: y=(x^(2)-2)e^(-x)
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\[y=(x^2-2)e^(-x)\]
try product rule
ya try the product rule
\[(f*g)' = f'*g + f*g'\]
\[f(x) = x^{2}-2\] \[f'(x) = 2x\] \[g(x) = e^{-x}\] \[g'(x) = -e^{-x}\]
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y=\[(x ^{2}-2)e ^{-x}\] then y' will be\[2xe ^{-x}+(x ^{2}-2)e ^{-x}\]
You can use the software Maple to check your answer, and there is a student package that show you the integration step by step.
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