What is the derivative of x^{-0.5} ?

The derivative of x^{-0.5} is -(0.5)/(x^{1.5)}

What is the first derivative of x^{-0.5} ?

The first derivative of x^{-0.5} is -(0.5)/(x^{1.5)}

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derivative of

x^{- 0.5}

- \frac{0.5}{x ^{1.5}}

Solution steps

\frac{d}{d x} (x^{- 0.5})

Apply the Power Rule:

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

= - 0.5 x^{- 0.5 - 1}

Simplify

- 0.5 x^{- 0.5 - 1} : - \frac{0.5}{x ^{1.5}}

= - \frac{0.5}{x ^{1.5}}

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What is the derivative of x^{-0.5} ?
The derivative of x^{-0.5} is -(0.5)/(x^{1.5)}
What is the first derivative of x^{-0.5} ?
The first derivative of x^{-0.5} is -(0.5)/(x^{1.5)}