What is (\partial)/(\partial x)((12x)/(sqrt(y+6))) ?

The answer to (\partial)/(\partial x)((12x)/(sqrt(y+6))) is (12)/(sqrt(y+6))

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(\partial)/(\partial x)((12x)/(sqrt(y+6)))

\frac{\partial}{\partial x} (\frac{12 x}{y + 6})

\frac{12}{y + 6}

Solution steps

\frac{\partial}{\partial x} (\frac{12 x}{y + 6})

Treat

y

as a constant

Take the constant out:

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

= \frac{12}{y + 6} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{12}{y + 6} \cdot 1

Simplify

= \frac{12}{y + 6}

What is (\partial)/(\partial x)((12x)/(sqrt(y+6))) ?
The answer to (\partial)/(\partial x)((12x)/(sqrt(y+6))) is (12)/(sqrt(y+6))