What is expand cos(x)+ln(y)+(x/y+e^y)(dy)/(dx) ?

The solution to expand cos(x)+ln(y)+(x/y+e^y)(dy)/(dx) is cos(x)+ln(y)+(x(dy)/(dx))/y+e^y(dy)/(dx)

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expand cos(x)+ln(y)+(x/y+e^y)(dy)/(dx)

expand

cos (x) + ln (y) + (\frac{x}{y} + e^{y}) \frac{d y}{d x}

cos (x) + ln (y) + \frac{x \frac{d y}{d x}}{y} + e^{y} \frac{d y}{d x}

Solution steps

cos (x) + ln (y) + (\frac{x}{y} + e^{y}) \frac{d y}{d x}

Expand

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

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

\frac{( x - 8 ) \cdot ( x - 9 )}{30}

\frac{( ( k + 1 ) ^{2} ( k + 2 ) ^{2} )}{4}

(e^{- 5 t} + 2)^{2}

\frac{s + 3}{( s ^{2} + 4 s + 5 ) ( s + 5 )}

(3 x + 2)^{2}

What is expand cos(x)+ln(y)+(x/y+e^y)(dy)/(dx) ?
The solution to expand cos(x)+ln(y)+(x/y+e^y)(dy)/(dx) is cos(x)+ln(y)+(x(dy)/(dx))/y+e^y(dy)/(dx)