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

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

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

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

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derivative of

y = \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}}

\frac{d}{d x} (3 sin^{4} (x))

\frac{d ^{2} x}{d t ^{2}} + a x = 0

\frac{d}{d x} (1 - 2 x + 3 x^{2} - 4 x^{3})

\int e^{0.2 x} d x

y^{^{''}} - 9 y^{^{'}} = 81 t, y (0) = 9, y^{^{'}} (0) = 0

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