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

The derivative of 2/(xsqrt(x)) is -3/(x^{5/2)}

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

The first derivative of 2/(xsqrt(x)) is -3/(x^{5/2)}

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derivative of

\frac{2}{x x}

- \frac{3}{x ^{\frac{5}{2}}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the chain rule:

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

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

\frac{d}{d x} (x x) = \frac{3 x}{2}

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

Simplify

2 (- \frac{1}{( x x ) ^{2}} \cdot \frac{3 x}{2}) : - \frac{3}{x ^{\frac{5}{2}}}

= - \frac{3}{x ^{\frac{5}{2}}}

x \to \infty lim (x (2))

\frac{d}{d x} (3 A e^{3 x})

4 sin (x), 4 cos (2 x), [- \frac{π}{2}, \frac{π}{6}]

\frac{\partial}{\partial x} (sin (3 x))

(5 x - 3)^{4} (2 x - 7)^{- 3}

What is the derivative of 2/(xsqrt(x)) ?
The derivative of 2/(xsqrt(x)) is -3/(x^{5/2)}
What is the first derivative of 2/(xsqrt(x)) ?
The first derivative of 2/(xsqrt(x)) is -3/(x^{5/2)}