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}}}

3 + \frac{1}{4} sin (3 π t)

\frac{\partial}{\partial y} (y sin (x y))

\int x^{2} x^{3} + 21 d x

\int + \frac{x ^{2}}{( 225 + x ^{2} ) ^{2}} d x

x \to 0 lim (\frac{( 3 ^{x} - 4 ^{x} )}{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)}