What is (\partial)/(\partial x)(6*x*y+2*y) ?

The answer to (\partial)/(\partial x)(6*x*y+2*y) is 6y

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(\partial)/(\partial x)(6xy+2*y)

\frac{\partial}{\partial x} (6 \cdot x \cdot y + 2 \cdot y)

6 y

Solution steps

\frac{\partial}{\partial x} (6 x y + 2 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (6 x y) = 6 y

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

= 6 y + 0

Simplify

= 6 y

\frac{d}{d x} ((x - 1)^{4})

\frac{d}{d x} (\frac{x}{x ^{2}})

\int 144 - x^{2} d x

x \to - 1 lim (x^{3} + 2 x^{2} - 3 x - 4)

\frac{d y}{d x} = (x y)^{2}

What is (\partial)/(\partial x)(6*x*y+2*y) ?
The answer to (\partial)/(\partial x)(6*x*y+2*y) is 6y