What is (\partial)/(\partial x)(7xy^3+5) ?

The answer to (\partial)/(\partial x)(7xy^3+5) is 7y^3

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(\partial)/(\partial x)(7xy^3+5)

\frac{\partial}{\partial x} (7 x y^{3} + 5)

7 y^{3}

Solution steps

\frac{\partial}{\partial x} (7 x y^{3} + 5)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (7 x y^{3}) + \frac{\partial}{\partial x} (5)

\frac{\partial}{\partial x} (7 x y^{3}) = 7 y^{3}

\frac{\partial}{\partial x} (5) = 0

= 7 y^{3} + 0

Simplify

= 7 y^{3}

What is (\partial)/(\partial x)(7xy^3+5) ?
The answer to (\partial)/(\partial x)(7xy^3+5) is 7y^3