What is expand derivative of ln(x+1)+(-x-2)ln(y) ?

The solution to expand derivative of ln(x+1)+(-x-2)ln(y) is derivative of ln(x+1)-xln(y)-2ln(y)

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expand derivative of ln(x+1)+(-x-2)ln(y)

expand

\frac{d}{d x} (ln (x + 1)) + (- x - 2) ln (y)

\frac{d}{d x} (ln (x + 1)) - x ln (y) - 2 ln (y)

Solution steps

\frac{d}{d x} (ln (x + 1)) + (- x - 2) ln (y)

= \frac{d}{d x} (ln (x + 1)) + ln (y) (- x - 2)

Expand

ln (y) (- x - 2) : - x ln (y) - 2 ln (y)

= \frac{d}{d x} (ln (x + 1)) - x ln (y) - 2 ln (y)

\frac{2 s + 202}{( s ^{2} + 2 s + 101 ) s}

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

- \frac{( - x + 1 ) ^{4}}{4}

\frac{2 x ^{2} + 12 x - 10}{( x - 1 ) ( 2 x - 1 ) ( x + 3 )}

\frac{x - 3}{( x + 5 ) ( x - 4 )}

What is expand derivative of ln(x+1)+(-x-2)ln(y) ?
The solution to expand derivative of ln(x+1)+(-x-2)ln(y) is derivative of ln(x+1)-xln(y)-2ln(y)