What is the derivative of sqrt(2/x) ?

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

What is the first derivative of sqrt(2/x) ?

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 \frac{2}{x}} (- \frac{2}{x ^{2}}) : - \frac{1}{2 x ^{\frac{3}{2}}}

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

n = 1 \sum \infty \frac{1}{7 n + 7}

x \to 1 lim (\frac{x ^{\frac{3}{2}} - 1}{1 - x})

\frac{d}{d x} ((sec (x))^{3})

3 \frac{d x}{d t} + x = 0.5

x^{\frac{99}{100}}

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