What is the derivative of (9x^2-3x-10y^{''}+(x^2+x)y^'+(2x-1)y) ?

The derivative of (9x^2-3x-10y^{''}+(x^2+x)y^'+(2x-1)y) is

What is the first derivative of (9x^2-3x-10y^{''}+(x^2+x)y^'+(2x-1)y) ?

The first derivative of (9x^2-3x-10y^{''}+(x^2+x)y^'+(2x-1)y) is

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\frac{d}{d x} ((9 x^{2} - 3 x - 10) y^{^{''}} + (x^{2} + x) y^{^{'}} + (2 x - 1) y)

Solution steps

\frac{d}{d x} ((9 x^{2} - 3 x - 10) y^{^{''}} + (x^{2} + x) y^{^{'}} + (2 x - 1) y)

Simplify

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

What is the derivative of (9x^2-3x-10y^{''}+(x^2+x)y^'+(2x-1)y) ?
The derivative of (9x^2-3x-10y^{''}+(x^2+x)y^'+(2x-1)y) is
What is the first derivative of (9x^2-3x-10y^{''}+(x^2+x)y^'+(2x-1)y) ?
The first derivative of (9x^2-3x-10y^{''}+(x^2+x)y^'+(2x-1)y) is