What is the derivative of 8/(x^7) ?

The derivative of 8/(x^7) is -(56)/(x^8)

What is the first derivative of 8/(x^7) ?

The first derivative of 8/(x^7) is -(56)/(x^8)

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\frac{d}{d x} (\frac{8}{x ^{7}})

- \frac{56}{x ^{8}}

Solution steps

\frac{d}{d x} (\frac{8}{x ^{7}})

Take the constant out:

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

= 8 \frac{d}{d x} (\frac{1}{x ^{7}})

Apply exponent rule:

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

= 8 \frac{d}{d x} (x^{- 7})

Apply the Power Rule:

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

= 8 (- 7 x^{- 7 - 1})

Simplify

8 (- 7 x^{- 7 - 1}) : - \frac{56}{x ^{8}}

= - \frac{56}{x ^{8}}

\int \frac{x ^{2} + 4 x + 1}{x + 3} d x

\int_{0}^{1} t^{3} (1 + t^{4})^{3} d t

\frac{d y}{d x} = - 10 x^{4} + 8 x^{3}

f (x) = 7 x - x, (4, 26)

f (x) = (\frac{x + 11}{x - 11})^{6}

What is the derivative of 8/(x^7) ?
The derivative of 8/(x^7) is -(56)/(x^8)
What is the first derivative of 8/(x^7) ?
The first derivative of 8/(x^7) is -(56)/(x^8)