What is (\partial)/(\partial x)((y)(-12xy-6y^5)) ?

The answer to (\partial)/(\partial x)((y)(-12xy-6y^5)) is -12y^2

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(\partial)/(\partial x)((y)(-12xy-6y^5))

\frac{\partial}{\partial x} ((y) (- 12 x y - 6 y^{5}))

- 12 y^{2}

Solution steps

\frac{\partial}{\partial x} ((y) (- 12 x y - 6 y^{5}))

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= y \frac{\partial}{\partial x} (- 12 x y - 6 y^{5})

Apply the Sum/Difference Rule:

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

= y (- \frac{\partial}{\partial x} (12 x y) - \frac{\partial}{\partial x} (6 y^{5}))

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

\frac{\partial}{\partial x} (6 y^{5}) = 0

= y (- 12 y - 0)

Simplify

y (- 12 y - 0) : - 12 y^{2}

= - 12 y^{2}

(\frac{( \frac{2 y - 3}{5} )}{2})^{2}

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\frac{4 ( s + 6 )}{s ( s ^{2} + 9 s )}

, A (2, - 3) Y B (- 2, 3)

\frac{d}{d x} ((x + 1) (x^{2} - 55 x)) + 1015 x - 5542

What is (\partial)/(\partial x)((y)(-12xy-6y^5)) ?
The answer to (\partial)/(\partial x)((y)(-12xy-6y^5)) is -12y^2