What is expand y^2+(2x+e^y)yy'(x) ?

The solution to expand y^2+(2x+e^y)yy'(x) is y^2+2xyy'(x)+e^yyy'(x)

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expand y^2+(2x+e^y)yy'(x)

expand

y^{2} + (2 x + e^{y}) y y^{'} (x)

y^{2} + 2 x yy' (x) + e^{y} yy' (x)

Solution steps

y^{2} + (2 x + e^{y}) y y^{'} (x)

Expand

y y^{'} (x) (2 x + e^{y}) : 2 x y y^{'} (x) + e^{y} y y^{'} (x)

= y^{2} + 2 x y y^{'} (x) + e^{y} y y^{'} (x)

\frac{3 + x ( 3 x - 2 )}{3 x - 2}

\frac{( 5 x - 1 )}{( x + 1 ) ( x - 2 )}

\frac{d}{d x} ((z (x, y)) (x^{2} + y^{5}))

x^{4} + 2 x^{3} - 5 x^{2} - 6 x (0, - 1, 2, - 3)

x y \cdot (1 - x - y)^{2}

What is expand y^2+(2x+e^y)yy'(x) ?
The solution to expand y^2+(2x+e^y)yy'(x) is y^2+2xyy'(x)+e^yyy'(x)