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Popular >

derivative of sqrt(y-x-2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

(\partial)/(\partial x)(x^2(1+sin(1/x)))

\frac{\partial}{\partial x} (x^{2} (1 + sin (\frac{1}{x})))

limit as x approaches 2.5 of g(x)

x \to 2.5 lim (g (x))

integral of 1/(t^2+6t+25)

\int \frac{1}{t ^{2} + 6 t + 25} d t

slope of (3,2),(7,-4)slope

(3, 2), (7, - 4)

area x^2,2x-x^2,0,1 area

x^{2}, 2 x - x^{2}, 0, 1

Frequently Asked Questions (FAQ)

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