What is the derivative of 4/((sqrt(x))) ?

The derivative of 4/((sqrt(x))) is -2/(x^{3/2)}

What is the first derivative of 4/((sqrt(x))) ?

The first derivative of 4/((sqrt(x))) is -2/(x^{3/2)}

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derivative of

\frac{4}{( x )}

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

Solution steps

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

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 4 \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= 4 (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

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

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

\int_{0}^{0.6} ln (sec (x)) d x

\frac{d ^{2}}{d x ^{2}} (6 x + 11)

x \to 4 + lim (\frac{x - 5}{x - 4})

\int \frac{4 x ^{3}}{x ^{4} - 2} d x

\frac{\partial}{\partial x} (cos (x^{2} + y^{2}) \cdot 2 x)

What is the derivative of 4/((sqrt(x))) ?
The derivative of 4/((sqrt(x))) is -2/(x^{3/2)}
What is the first derivative of 4/((sqrt(x))) ?
The first derivative of 4/((sqrt(x))) is -2/(x^{3/2)}