What is (\partial)/(\partial x)(2xy^3+2) ?

The answer to (\partial)/(\partial x)(2xy^3+2) is 2y^3

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(\partial)/(\partial x)(2xy^3+2)

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

2 y^{3}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x y^{3}) + \frac{\partial}{\partial x} (2)

\frac{\partial}{\partial x} (2 x y^{3}) = 2 y^{3}

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

= 2 y^{3} + 0

Simplify

= 2 y^{3}

y^{^{'}} - (\frac{3}{t}) \cdot y = 2 t^{3} \cdot e^{(2 t)}, y (1) = 0

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

n = 1 \sum \infty \frac{1}{2 ^{n} - 5}

\frac{d y}{d t} + 0.7 t y = 7 t

y = 5 x^{2} + 2 x y - 3 y^{2} + 3, (2, 1)

What is (\partial)/(\partial x)(2xy^3+2) ?
The answer to (\partial)/(\partial x)(2xy^3+2) is 2y^3