What is (\partial}{\partial x}(\frac{6x)/y) ?

The answer to (\partial}{\partial x}(\frac{6x)/y) is 6/y

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(\partial}{\partial x}(\frac{6x)/y)

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

\frac{6}{y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= \frac{6}{y}

\int sin (π y) d y

\frac{\partial}{\partial x} (sin (x^{2} - y^{2}))

11 x^{2} - 4 x

y^{^{'}} = \frac{( sec ( y ) )}{( x - 4 ) ^{2}}

\frac{d y}{d x} = \frac{2 - e ^{x}}{3 + 2 y}, y (0) = 0

What is (\partial}{\partial x}(\frac{6x)/y) ?
The answer to (\partial}{\partial x}(\frac{6x)/y) is 6/y