What is the derivative of-(11)/(s^6) ?

The derivative of-(11)/(s^6) is (66)/(s^7)

What is the first derivative of-(11)/(s^6) ?

The first derivative of-(11)/(s^6) is (66)/(s^7)

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derivative of

- \frac{11}{s ^{6}}

\frac{66}{s ^{7}}

Solution steps

\frac{d}{d s} (- \frac{11}{s ^{6}})

Take the constant out:

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

= - 11 \frac{d}{d s} (\frac{1}{s ^{6}})

Apply exponent rule:

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

= - 11 \frac{d}{d s} (s^{- 6})

Apply the Power Rule:

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

= - 11 (- 6 s^{- 6 - 1})

Simplify

- 11 (- 6 s^{- 6 - 1}) : \frac{66}{s ^{7}}

= \frac{66}{s ^{7}}

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What is the derivative of-(11)/(s^6) ?
The derivative of-(11)/(s^6) is (66)/(s^7)
What is the first derivative of-(11)/(s^6) ?
The first derivative of-(11)/(s^6) is (66)/(s^7)