What is the derivative derivative of 1/((sqrt(x))) ?

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

What is the first derivative derivative of 1/((sqrt(x))) ?

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

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derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

x = \frac{( y ^{4} )}{8} + \frac{1}{( 4 y ^{2} )}, 1 \leq y \leq 3

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

\frac{d}{d x} (4 e^{x})

\frac{d}{d} y \frac{y}{x}

\frac{d}{d x} y = sec (2 x)

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