What is (\partial)/(\partial x)(11x^2y+8xy^3) ?

The answer to (\partial)/(\partial x)(11x^2y+8xy^3) is 22yx+8y^3

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(\partial)/(\partial x)(11x^2y+8xy^3)

\frac{\partial}{\partial x} (11 x^{2} y + 8 x y^{3})

22 y x + 8 y^{3}

Solution steps

\frac{\partial}{\partial x} (11 x^{2} y + 8 x y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (11 x^{2} y) + \frac{\partial}{\partial x} (8 x y^{3})

\frac{\partial}{\partial x} (11 x^{2} y) = 22 y x

\frac{\partial}{\partial x} (8 x y^{3}) = 8 y^{3}

= 22 y x + 8 y^{3}

\frac{d}{d x} (4 - x + 7)

\frac{d}{d x} (\frac{1}{( 4 x ) ^{3}})

y^{^{'}} = \frac{x ^{8}}{y}

\int x^{3} + 5 x - 1 d x

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

What is (\partial)/(\partial x)(11x^2y+8xy^3) ?
The answer to (\partial)/(\partial x)(11x^2y+8xy^3) is 22yx+8y^3