What is the derivative of x^{-3/2} ?

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

What is the first derivative of x^{-3/2} ?

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

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derivative of

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

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

Solution steps

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

Apply the Power Rule:

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

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

Simplify

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

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

x \to + 5 lim (x^{2} - 2 x + 1)

\int \frac{2 + e ^{x}}{2 - e ^{x}} d x

\frac{\partial}{\partial x} (ln (e^{x y} cos (x)))

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

y^{^{'}} = \frac{( 4 + 5 \cdot y )}{6}

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