What is the derivative of 9/(5sqrt(x)) ?

The derivative of 9/(5sqrt(x)) is -9/(10x^{3/2)}

What is the first derivative of 9/(5sqrt(x)) ?

The first derivative of 9/(5sqrt(x)) is -9/(10x^{3/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{9}{5 x}

- \frac{9}{10 x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (\frac{9}{5 x})

Take the constant out:

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

= \frac{9}{5} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= \frac{9}{5} \frac{d}{d x} (x^{- \frac{1}{2}})

Apply the Power Rule:

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

= \frac{9}{5} (- \frac{1}{2} x^{- \frac{1}{2} - 1})

Simplify

\frac{9}{5} (- \frac{1}{2} x^{- \frac{1}{2} - 1}) : - \frac{9}{10 x ^{\frac{3}{2}}}

= - \frac{9}{10 x ^{\frac{3}{2}}}

\int \frac{3 x e ^{2 x}}{( 1 + 2 x ) ^{2}} d x

\int e^{u t} d t

\frac{d y}{d x} = x y + 3 x - 2 y - 6

∣ X^{2} - 1 ∣

\int e^{t y} (- 4 y - 1) d y

What is the derivative of 9/(5sqrt(x)) ?
The derivative of 9/(5sqrt(x)) is -9/(10x^{3/2)}
What is the first derivative of 9/(5sqrt(x)) ?
The first derivative of 9/(5sqrt(x)) is -9/(10x^{3/2)}