What is the derivative of 1/(sqrt(1-2x)) ?

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

What is the first derivative of 1/(sqrt(1-2x)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

= - \frac{1}{2 ( 1 - 2 x ) ^{\frac{3}{2}}} \frac{d}{d x} (1 - 2 x)

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

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

Simplify

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

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

y = x sin (x) + 2

x^{^{''}} - x^{^{'}} - 6 x = 6 e^{3 t} + 2 e^{- 2 t}

x \to 0 lim (\frac{sec ( x - 1 )}{x sec ( x )})

\int e^{k t} d t

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

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