What is the derivative of-(24/(x^5)) ?

The derivative of-(24/(x^5)) is (120)/(x^6)

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

The first derivative of-(24/(x^5)) is (120)/(x^6)

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\frac{d}{d x} (- \frac{24}{x ^{5}})

\frac{120}{x ^{6}}

Solution steps

\frac{d}{d x} (- \frac{24}{x ^{5}})

Take the constant out:

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

= - 24 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= - 24 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= - 24 (- 5 x^{- 5 - 1})

Simplify

- 24 (- 5 x^{- 5 - 1}) : \frac{120}{x ^{6}}

= \frac{120}{x ^{6}}

y = x + 20, y = x^{2}

\int (1 + 2 x)^{- 2} d x

y^{^{''}} e^{a x} - 2 a^{2} y e^{a x} = 0

f (x) = 3 x + 7, at x = 6

\frac{1 - 3 x}{6 + x}

What is the derivative of-(24/(x^5)) ?
The derivative of-(24/(x^5)) is (120)/(x^6)
What is the first derivative of-(24/(x^5)) ?
The first derivative of-(24/(x^5)) is (120)/(x^6)