What is the derivative of 2/((5x+1^3)) ?

The derivative of 2/((5x+1^3)) is -(30)/((5x+1)^4)

What is the first derivative of 2/((5x+1^3)) ?

The first derivative of 2/((5x+1^3)) is -(30)/((5x+1)^4)

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}{( 5 x + 1 ) ^{3}})

- \frac{30}{( 5 x + 1 ) ^{4}}

Solution steps

\frac{d}{d x} (\frac{2}{( 5 x + 1 ) ^{3}})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{( 5 x + 1 ) ^{3}})

Apply exponent rule:

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

= 2 \frac{d}{d x} ((5 x + 1)^{- 3})

Apply the chain rule:

- \frac{3}{( 5 x + 1 ) ^{4}} \frac{d}{d x} (5 x + 1)

= - \frac{3}{( 5 x + 1 ) ^{4}} \frac{d}{d x} (5 x + 1)

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

= 2 (- \frac{3}{( 5 x + 1 ) ^{4}} \cdot 5)

Simplify

2 (- \frac{3}{( 5 x + 1 ) ^{4}} \cdot 5) : - \frac{30}{( 5 x + 1 ) ^{4}}

= - \frac{30}{( 5 x + 1 ) ^{4}}

\int 96 - 32 t d t

y^{^{'}} = x e^{6}

\int \frac{( x ^{2} + 1 ) ( x ^{4} - x ^{2} + 1 )}{2 x ^{3}} d x

(1 + 9 x^{2}) (x + x^{2})

What is the derivative of 2/((5x+1^3)) ?
The derivative of 2/((5x+1^3)) is -(30)/((5x+1)^4)
What is the first derivative of 2/((5x+1^3)) ?
The first derivative of 2/((5x+1^3)) is -(30)/((5x+1)^4)