What is (\partial)/(\partial x)(xy+81) ?

The answer to (\partial)/(\partial x)(xy+81) is y

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(\partial)/(\partial x)(xy+81)

\frac{\partial}{\partial x} (x y + 81)

y

Solution steps

\frac{\partial}{\partial x} (x y + 81)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x y) + \frac{\partial}{\partial x} (81)

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

\frac{\partial}{\partial x} (81) = 0

= y + 0

Simplify

= y

n = 1 \sum \infty \frac{5}{n ( n + 3 )}

{1}

\int (\frac{x ^{2} - x + 5}{x}) d x

\frac{d y}{d x} = - y + 5

x \to - 7 lim (\frac{x + 3}{x + 7})

What is (\partial)/(\partial x)(xy+81) ?
The answer to (\partial)/(\partial x)(xy+81) is y