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

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

Solution steps

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

Simplify

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

= \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 2 + y e^{y} d y

x \to 0 - lim (\frac{x}{sin ( 3 x )})

\int_{- 4}^{4} x 16 - x^{2} d x

g (x) = \frac{1}{2 x}, at x = 9

x^{\frac{1}{2}}, x - 2, [0, 4]

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)