What is expand 3+3*x*(y'(x))^2+(x-4)*y*y'(x) ?

The solution to expand 3+3*x*(y'(x))^2+(x-4)*y*y'(x) is 3+3x(y'(x))^2+xyy'(x)-4yy'(x)

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expand 3+3x(y'(x))^2+(x-4)yy'(x)

expand

3 + 3 \cdot x \cdot (y^{'} (x))^{2} + (x - 4) \cdot y \cdot y^{'} (x)

3 + 3 x (y' (x))^{2} + x yy' (x) - 4 yy' (x)

Solution steps

3 + 3 x (y^{'} (x))^{2} + (x - 4) y y^{'} (x)

Expand

y y^{'} (x) (x - 4) : x y y^{'} (x) - 4 y y^{'} (x)

= 3 + 3 x (y^{'} (x))^{2} + x y y^{'} (x) - 4 y y^{'} (x)

x^{e - 5 x - 2} (9 e - 45 x) (e - 5 x - 1)

(x^{2})^{4}

(- 2 - 3 i)^{4}

\frac{2 x ^{3} + 3 x + 23}{( 2 x + 1 ) ( x ^{2} + 4 )}

16 (\frac{3}{2} + \frac{π}{6})

What is expand 3+3*x*(y'(x))^2+(x-4)*y*y'(x) ?
The solution to expand 3+3*x*(y'(x))^2+(x-4)*y*y'(x) is 3+3x(y'(x))^2+xyy'(x)-4yy'(x)