What is the derivative of 8/(x^5) ?

The derivative of 8/(x^5) is -(40)/(x^6)

What is the first derivative of 8/(x^5) ?

The first derivative of 8/(x^5) is -(40)/(x^6)

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\frac{d}{d x} (\frac{8}{x ^{5}})

- \frac{40}{x ^{6}}

Solution steps

\frac{d}{d x} (\frac{8}{x ^{5}})

Take the constant out:

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

= 8 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= 8 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= 8 (- 5 x^{- 5 - 1})

Simplify

8 (- 5 x^{- 5 - 1}) : - \frac{40}{x ^{6}}

= - \frac{40}{x ^{6}}

(0, 1), (5, - 2)

\int \frac{8 - x}{8 + x} d x

4 x + \frac{6}{7 x}

t \to 0 lim (\frac{1}{t + 1})

\int \frac{x ^{3} + 3 x}{x ^{2} + 1} d x

What is the derivative of 8/(x^5) ?
The derivative of 8/(x^5) is -(40)/(x^6)
What is the first derivative of 8/(x^5) ?
The first derivative of 8/(x^5) is -(40)/(x^6)