What is (\partial)/(\partial x)(16sqrt(3y)+2x) ?

The answer to (\partial)/(\partial x)(16sqrt(3y)+2x) is 2

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(\partial)/(\partial x)(16sqrt(3y)+2x)

\frac{\partial}{\partial x} (16 3 y + 2 x)

2

Solution steps

\frac{\partial}{\partial x} (16 3 y + 2 x)

Simplify

16 3 y + 2 x : 163 y + 2 x

= \frac{\partial}{\partial x} (163 y + 2 x)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (163 y) + \frac{\partial}{\partial x} (2 x)

\frac{\partial}{\partial x} (163 y) = 0

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

= 0 + 2

Simplify

= 2

What is (\partial)/(\partial x)(16sqrt(3y)+2x) ?
The answer to (\partial)/(\partial x)(16sqrt(3y)+2x) is 2