Find out the answer to "y=x2ex−2xex+4ex The derivative of the function is?"

postillan4

Answered question

2021-09-02

y = x^{2} e^{x} - 2 x e^{x} + 4 e^{x}

The derivative of the function is?

grbavit

Skilled2021-09-03Added 109 answers

y = x^{2} e^{x} - 2 x e^{x} + 4 e^{x}

\frac{d}{d x} (e^{a x}) = a e^{a x}

y = x^{2} e^{x} - 2 x e^{x} + 4 e^{x}

\frac{d y}{d x} = (x^{2} - 2 x) \frac{d}{d x} (e^{x}) + e^{x} \frac{d}{d x} (x^{2} - 2 x) + \frac{d}{d x} (4 e^{x})

\frac{d y}{d x} = (x^{2} - 2 x) e^{x} + e^{x} (2 x - 2) + 4 e^{x}

\frac{d y}{d x} = (x^{2} + 2) e^{x}

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