What is the derivative of-1/(2x^4) ?

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

What is the first derivative of-1/(2x^4) ?

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

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derivative of

- \frac{1}{2 x ^{4}}

\frac{2}{x ^{5}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{2}{x ^{5}}

\int_{0}^{18} \frac{1}{30} d x

\frac{d}{d x} ((e^{x}) d x)

\frac{d}{d t} (sin (9 t))

x \to - \infty lim (2 x + 1)

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