What is (\partial)/(\partial x)((xy+yz+xz)^2) ?

The answer to (\partial)/(\partial x)((xy+yz+xz)^2) is 2(xy+yz+xz)(y+z)

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(\partial)/(\partial x)((xy+yz+xz)^2)

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

2 (x y + yz + x z) (y + z)

Solution steps

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

Treat

y, z

as constants

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x y + yz + x z) = y + z

= 2 (x y + yz + x z) (y + z)

What is (\partial)/(\partial x)((xy+yz+xz)^2) ?
The answer to (\partial)/(\partial x)((xy+yz+xz)^2) is 2(xy+yz+xz)(y+z)