What is (\partial)/(\partial x)(6y^2+284x-12) ?

The answer to (\partial)/(\partial x)(6y^2+284x-12) is 284

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(\partial)/(\partial x)(6y^2+284x-12)

\frac{\partial}{\partial x} (6 y^{2} + 284 x - 12)

284

Solution steps

\frac{\partial}{\partial x} (6 y^{2} + 284 x - 12)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 y^{2}) + \frac{\partial}{\partial x} (284 x) - \frac{\partial}{\partial x} (12)

\frac{\partial}{\partial x} (6 y^{2}) = 0

\frac{\partial}{\partial x} (284 x) = 284

\frac{\partial}{\partial x} (12) = 0

= 0 + 284 - 0

Simplify

= 284

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

y = e^{7}

y^{^{''}} - 6 y^{^{'}} + 4 y = 0, y (0) = 0, y^{^{'}} (0) = 7

e^{y} (1 + x^{2}) d y - 2 x (1 + e^{y}) d x = 0

\int 2 e x + 8 x^{3} + 6 x d x

What is (\partial)/(\partial x)(6y^2+284x-12) ?
The answer to (\partial)/(\partial x)(6y^2+284x-12) is 284