What is the derivative of 2/(sqrt(u)) ?

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

What is the first derivative of 2/(sqrt(u)) ?

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

Popular >

derivative of

\frac{2}{u}

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

Solution steps

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

Take the constant out:

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

= 2 \frac{d}{d u} (\frac{1}{u})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 2 (- \frac{1}{2} u^{- \frac{1}{2} - 1})

Simplify

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

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

\int (x^{2} - 9 x + 3) d x

\frac{\partial}{\partial x} (x y + ln (\frac{x}{y}))

\int \frac{- 16 x + 3}{( x ^{2} + 2 ) ^{2}} d x

\frac{\partial}{\partial x} (e^{(3 x + 4 y)} cos (5 z))

\frac{\partial}{\partial y} (4 + x^{3} + y^{3} - 3 x y)

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