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Popular >

derivative of sqrt((2x-y))

Solution

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

Solution

\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}

Popular Examples

\frac{d}{d t} (t^{4})

integral from 0 to 6 of 9sqrt(4x+1)

\int_{0}^{6} 9 4 x + 1 d x

36y^{''}-y=0,y(-5)=1,y^'(-5)=-1

36 y^{^{''}} - y = 0, y (- 5) = 1, y^{^{'}} (- 5) = - 1

y^{^{''}} - y^{^{'}} = 0

limit as x approaches 2+of tan((pix)/4)

x \to 2 + lim (tan (\frac{π x}{4}))

Frequently Asked Questions (FAQ)

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)}