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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

5 (1.3)^{- (- 3)}

(2 + x)^{3} (2 - x)^{3}

1.89 \cdot 1 0^{- 24}

7 m^{3} x f t^{3}

e^{a} \cdot e^{- b}

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