What is the derivative of 2/(x^3)+2/(x^3)-4x ?

The derivative of 2/(x^3)+2/(x^3)-4x is -(12)/(x^4)-4

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

The first derivative of 2/(x^3)+2/(x^3)-4x is -(12)/(x^4)-4

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derivative of

\frac{2}{x ^{3}} + \frac{2}{x ^{3}} - 4 x

- \frac{12}{x ^{4}} - 4

Solution steps

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

Simplify

\frac{2}{x ^{3}} + \frac{2}{x ^{3}} - 4 x : \frac{4}{x ^{3}} - 4 x

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (\frac{4}{x ^{3}}) = - \frac{12}{x ^{4}}

\frac{d}{d x} (4 x) = 4

= - \frac{12}{x ^{4}} - 4

ln (x^{2}) - 3

\frac{e ^{x}}{2} + \frac{e ^{- x}}{2}

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

2 x^{2} + 9

2 x^{2} + 2

What is the derivative of 2/(x^3)+2/(x^3)-4x ?
The derivative of 2/(x^3)+2/(x^3)-4x is -(12)/(x^4)-4
What is the first derivative of 2/(x^3)+2/(x^3)-4x ?
The first derivative of 2/(x^3)+2/(x^3)-4x is -(12)/(x^4)-4