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

The derivative of 2/(x^4) is -8/(x^5)

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

The first derivative of 2/(x^4) is -8/(x^5)

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derivative of

\frac{2}{x ^{4}}

- \frac{8}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{2}{x ^{4}})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 2 (- 4 x^{- 4 - 1})

Simplify

2 (- 4 x^{- 4 - 1}) : - \frac{8}{x ^{5}}

= - \frac{8}{x ^{5}}

f (y) = y ln (1 + e^{y})

\int \frac{cos ( x )}{sin ^{3} ( x ) - cos ^{3} ( x )} d x

\frac{d}{d x} (sin (2 x) + 2 x cos (2 x))

f (x) = \frac{e ^{x}}{1 + e ^{x}}

\int \frac{x ^{2}}{( 16 - x ^{3} ) ^{2}} d x

What is the derivative of 2/(x^4) ?
The derivative of 2/(x^4) is -8/(x^5)
What is the first derivative of 2/(x^4) ?
The first derivative of 2/(x^4) is -8/(x^5)