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

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

Solution steps

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

Simplify

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

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{d}{d x} ((3 x)^{\frac{1}{2}})

\frac{d}{d x} (14 e^{2 x})

(cos (6 x)) y^{^{'}} - 6 (tan (6 x)) y = - 2 sec (6 x)

\frac{d}{d x} ((x^{6} - 6) x)

x sin (x)

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)}