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)

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

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)

\frac{\partial}{\partial x} (tan (6 + 2 x^{2} y^{3} z^{2}))

\frac{d}{d x} (ln (- ln (1 - x)))

2 (\frac{e ^{2 t} - e ^{2 t}}{2}) sin (2 t)

(sin (2 π x) + 2 π x cos (2 π x))^{^{'}}

\frac{d y}{d x} = \frac{x - y}{x}

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