What is (\partial)/(\partial x)(6xy+5x^2) ?

The answer to (\partial)/(\partial x)(6xy+5x^2) is 6y+10x

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(\partial)/(\partial x)(6xy+5x^2)

\frac{\partial}{\partial x} (6 x y + 5 x^{2})

6 y + 10 x

Solution steps

\frac{\partial}{\partial x} (6 x y + 5 x^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x y) + \frac{\partial}{\partial x} (5 x^{2})

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

\frac{\partial}{\partial x} (5 x^{2}) = 10 x

= 6 y + 10 x

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What is (\partial)/(\partial x)(6xy+5x^2) ?
The answer to (\partial)/(\partial x)(6xy+5x^2) is 6y+10x