What is the derivative of sqrt(x)-2sqrt(y) ?

The derivative of sqrt(x)-2sqrt(y) is 1/(2sqrt(x))-(\frac{dy)/(dx)}{sqrt(y)}

What is the first derivative of sqrt(x)-2sqrt(y) ?

The first derivative of sqrt(x)-2sqrt(y) is 1/(2sqrt(x))-(\frac{dy)/(dx)}{sqrt(y)}

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\frac{d}{d x} (x - 2 y)

\frac{1}{2 x} - \frac{\frac{d y}{d x}}{y}

Solution steps

\frac{d}{d x} (x - 2 y)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) - \frac{d}{d x} (2 y)

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (2 y) = \frac{\frac{d y}{d x}}{y}

= \frac{1}{2 x} - \frac{\frac{d y}{d x}}{y}

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\frac{d}{d x} (\frac{x ^{6}}{1 - x ^{5}})

What is the derivative of sqrt(x)-2sqrt(y) ?
The derivative of sqrt(x)-2sqrt(y) is 1/(2sqrt(x))-(\frac{dy)/(dx)}{sqrt(y)}
What is the first derivative of sqrt(x)-2sqrt(y) ?
The first derivative of sqrt(x)-2sqrt(y) is 1/(2sqrt(x))-(\frac{dy)/(dx)}{sqrt(y)}