What is (\partial)/(\partial x)(xy^3+6) ?

The answer to (\partial)/(\partial x)(xy^3+6) is y^3

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(\partial)/(\partial x)(xy^3+6)

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

y^{3}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x y^{3}) + \frac{\partial}{\partial x} (6)

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

\frac{\partial}{\partial x} (6) = 0

= y^{3} + 0

Simplify

= y^{3}

x^{2} y^{^{'}} + y = 0, y (8) = 5

\int_{0}^{3} \frac{1}{( x + 2 ) ( x + 4 )} d x

\frac{10 s}{s ^{2} - 25}

x \to - 5 lim (- 1 x)

x \to 0 lim (\frac{1}{x ^{2} + 3})

What is (\partial)/(\partial x)(xy^3+6) ?
The answer to (\partial)/(\partial x)(xy^3+6) is y^3