What is the derivative of ((2)/((6-12x))) ?

The derivative of ((2)/((6-12x))) is 2/(3(2x-1)^2)

What is the first derivative of ((2)/((6-12x))) ?

The first derivative of ((2)/((6-12x))) is 2/(3(2x-1)^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{( 2 )}{( 6 - 12 x )})

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

Solution steps

\frac{d}{d x} (\frac{( 2 )}{( 6 - 12 x )})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{6 - 12 x})

Apply exponent rule:

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

= 2 \frac{d}{d x} ((6 - 12 x)^{- 1})

Apply the chain rule:

- \frac{1}{( 6 - 12 x ) ^{2}} \frac{d}{d x} (6 - 12 x)

= - \frac{1}{( 6 - 12 x ) ^{2}} \frac{d}{d x} (6 - 12 x)

\frac{d}{d x} (6 - 12 x) = - 12

= 2 (- \frac{1}{( 6 - 12 x ) ^{2}} (- 12))

Simplify

2 (- \frac{1}{( 6 - 12 x ) ^{2}} (- 12)) : \frac{2}{3 ( 2 x - 1 ) ^{2}}

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

5 cos (π x), 12 x^{2} - 3, - 0.5, 0.5

\frac{d}{d x} (2 y x)

\frac{\partial}{\partial x} (4 x^{2} y^{3} + 2)

\frac{1}{s ( s ^{2} + 7 s + 12 )}

\int sin^{2} (x) \cdot cos^{3} (x) d x

What is the derivative of ((2)/((6-12x))) ?
The derivative of ((2)/((6-12x))) is 2/(3(2x-1)^2)
What is the first derivative of ((2)/((6-12x))) ?
The first derivative of ((2)/((6-12x))) is 2/(3(2x-1)^2)