What is the derivative of-(192/(x^4)) ?

The derivative of-(192/(x^4)) is (768)/(x^5)

What is the first derivative of-(192/(x^4)) ?

The first derivative of-(192/(x^4)) is (768)/(x^5)

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\frac{d}{d x} (- \frac{192}{x ^{4}})

\frac{768}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{192}{x ^{4}})

Take the constant out:

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

= - 192 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= - 192 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 192 (- 4 x^{- 4 - 1})

Simplify

- 192 (- 4 x^{- 4 - 1}) : \frac{768}{x ^{5}}

= \frac{768}{x ^{5}}

(3 + sin (2 x))^{2}

\int x^{4} y^{5} d x

y = 7 x^{4} - 7 x^{2}, y = 5 x^{2}

4 x^{2} - 1

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

What is the derivative of-(192/(x^4)) ?
The derivative of-(192/(x^4)) is (768)/(x^5)
What is the first derivative of-(192/(x^4)) ?
The first derivative of-(192/(x^4)) is (768)/(x^5)