How do you find the derivative of $y = x e^{x}$ $y=xe^x$ ?

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How do you find the derivative of $y = x e^{x}$ $y=xe^x$ ?

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Answer 1 · 2017-05-08T14:12:06

Using the product rule:

$\frac{d y}{d x} = \frac{d}{d x} (x e^{x}) = x \times \frac{d}{d x} (e^{x}) + \frac{d}{d x} (x) \times e^{x} = x e^{x} + e^{x} = e^{x} (x + 1)$ $dy/dx = d/dx (xe^x) = x xx d/dx (e^x) + d/dx(x) xx e^x = xe^x+e^x = e^x(x+1)$

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How do you find the derivative of $y = x e^{x}$ $y=xe^x$ ?

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How do you find the derivative of $y = x e^{x}$ $y=xe^x$ ?