en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(1-2/x)

Solution

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

Solution

\frac{1}{x ^{\frac{3}{2}} x - 2}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{2 1 - \frac{2}{x}} \cdot \frac{2}{x ^{2}}

Simplify

\frac{1}{2 1 - \frac{2}{x}} \cdot \frac{2}{x ^{2}} : \frac{1}{x ^{\frac{3}{2}} x - 2}

= \frac{1}{x ^{\frac{3}{2}} x - 2}

Popular Examples

integral of sqrt(4-2x^2)

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

limit as x approaches 2.99 of x^2+3x

x \to 2.99 lim (x^{2} + 3 x)

laplacetransform e^8 laplace transform

e^{8}

limit as x approaches-4 of x^2-1

x \to - 4 lim (x^{2} - 1)

(\partial)/(\partial x)(3x^2+ycos(xy))

\frac{\partial}{\partial x} (3 x^{2} + y cos (x y))

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(1-2/x) ?
The derivative of sqrt(1-2/x) is 1/(x^{3/2)sqrt(x-2)}
What is the first derivative of sqrt(1-2/x) ?
The first derivative of sqrt(1-2/x) is 1/(x^{3/2)sqrt(x-2)}