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Popular >

derivative of sqrt(x-2y)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

tangent of f(x)=x^2-2x-8,\at x=-2 tangent of

f (x) = x^{2} - 2 x - 8, at x = - 2

area y=((3x+1))/2 ,y=x^2-2 area

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

xy(dy)/(dx)+y^2=32x

x y \frac{d y}{d x} + y^{2} = 32 x

integral of x/(sqrt(4-x^2))

\int \frac{x}{4 - x ^{2}} d x

integral of sqrt(2x+9)

\int 2 x + 9 d x

Frequently Asked Questions (FAQ)

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