What is expand derivative of (a+bxe^x)+c ?

The solution to expand derivative of (a+bxe^x)+c is derivative of ae^x+be^xx+c

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expand derivative of (a+bxe^x)+c

expand

\frac{d}{d x} ((a + b x) e^{x}) + c

\frac{d}{d x} (a e^{x} + b e^{x} x) + c

Solution steps

\frac{d}{d x} ((a + b x) e^{x}) + c

Expand

(a + b x) e^{x} : a e^{x} + b e^{x} x

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

\frac{( r + s ) ( ( r + s ) - 1 )}{2}

8 (π - 2)

\frac{30 x}{( x ^{2} + 3 ) ^{2}}

\frac{( Q + 1 ) d Q}{Q ^{2} + 4}

\frac{3 e ^{3 x}}{( x + 2 ) ^{2}}

What is expand derivative of (a+bxe^x)+c ?
The solution to expand derivative of (a+bxe^x)+c is derivative of ae^x+be^xx+c