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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 2 x - y} (2 - \frac{d y}{d x}) : \frac{2 - \frac{d y}{d x}}{2 2 x - y}

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

\int x^{2} - y^{2} d x

x \to 2 + lim (\frac{x}{x - 2})

x \to 4 lim (3 x - 1)

\frac{d}{d x} (\frac{5 x}{7 + x})

\frac{( x ^{3} - x )}{1 + x ^{2}}

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