What is expand derivative of (e^{(-0.5x})*(4-x))-2 ?

The solution to expand derivative of (e^{(-0.5x})*(4-x))-2 is derivative of 4e^{-0.5x}-e^{-0.5x}x-2

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expand derivative of (e^{(-0.5x})*(4-x))-2

expand

\frac{d}{d x} ((e^{(- 0.5 x)}) \cdot (4 - x)) - 2

\frac{d}{d x} (4 e^{- 0.5 x} - e^{- 0.5 x} x) - 2

Solution steps

\frac{d}{d x} ((e^{- 0.5 x}) (4 - x)) - 2

Remove parentheses:

(a) = a

= \frac{d}{d x} (e^{- 0.5 x} (4 - x)) - 2

Expand

e^{- 0.5 x} (4 - x) : 4 e^{- 0.5 x} - e^{- 0.5 x} x

= \frac{d}{d x} (- e^{- 0.5 x} x + 4 e^{- 0.5 x}) - 2

1 - 2 x + x^{2} (m + e)

\frac{d ^{2}}{d x ^{2}} ((y) (- 4 x^{5} + 4))

1 5^{2}

\frac{8}{13 ( s ^{2} + 4 s + 13 )}

\frac{( 20 + x ^{2} ) ^{2}}{9}

What is expand derivative of (e^{(-0.5x})*(4-x))-2 ?
The solution to expand derivative of (e^{(-0.5x})*(4-x))-2 is derivative of 4e^{-0.5x}-e^{-0.5x}x-2