What is (\partial)/(\partial x)(9(x+y)^2) ?

The answer to (\partial)/(\partial x)(9(x+y)^2) is 18(x+y)

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(\partial)/(\partial x)(9(x+y)^2)

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

18 (x + y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x + y) = 1

= 9 \cdot 2 (x + y) \cdot 1

Simplify

= 18 (x + y)

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