What is (\partial)/(\partial x)(9x^2-11xy^2) ?

The answer to (\partial)/(\partial x)(9x^2-11xy^2) is 18x-11y^2

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(\partial)/(\partial x)(9x^2-11xy^2)

\frac{\partial}{\partial x} (9 x^{2} - 11 x y^{2})

18 x - 11 y^{2}

Solution steps

\frac{\partial}{\partial x} (9 x^{2} - 11 x y^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (9 x^{2}) - \frac{\partial}{\partial x} (11 x y^{2})

\frac{\partial}{\partial x} (9 x^{2}) = 18 x

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

= 18 x - 11 y^{2}

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What is (\partial)/(\partial x)(9x^2-11xy^2) ?
The answer to (\partial)/(\partial x)(9x^2-11xy^2) is 18x-11y^2