What is the derivative of-(24)/(x^4) ?

The derivative of-(24)/(x^4) is (96)/(x^5)

What is the first derivative of-(24)/(x^4) ?

The first derivative of-(24)/(x^4) is (96)/(x^5)

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derivative of

- \frac{24}{x ^{4}}

\frac{96}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{24}{x ^{4}})

Take the constant out:

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

= - 24 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= - 24 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 24 (- 4 x^{- 4 - 1})

Simplify

- 24 (- 4 x^{- 4 - 1}) : \frac{96}{x ^{5}}

= \frac{96}{x ^{5}}

\int p (p + 3)^{6} d p

x \to 4 lim (x - 4)

x \to 5 lim (25 - x^{2})

\int \frac{sin ( 2 x )}{24 + cos ^{2} ( x )} d x

\frac{d y}{d x} = \frac{1}{x} y

What is the derivative of-(24)/(x^4) ?
The derivative of-(24)/(x^4) is (96)/(x^5)
What is the first derivative of-(24)/(x^4) ?
The first derivative of-(24)/(x^4) is (96)/(x^5)