What is the derivative of-(14)/(s^6) ?

The derivative of-(14)/(s^6) is (84)/(s^7)

What is the first derivative of-(14)/(s^6) ?

The first derivative of-(14)/(s^6) is (84)/(s^7)

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derivative of

- \frac{14}{s ^{6}}

\frac{84}{s ^{7}}

Solution steps

\frac{d}{d s} (- \frac{14}{s ^{6}})

Take the constant out:

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

= - 14 \frac{d}{d s} (\frac{1}{s ^{6}})

Apply exponent rule:

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

= - 14 \frac{d}{d s} (s^{- 6})

Apply the Power Rule:

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

= - 14 (- 6 s^{- 6 - 1})

Simplify

- 14 (- 6 s^{- 6 - 1}) : \frac{84}{s ^{7}}

= \frac{84}{s ^{7}}

\int 0.5 sin (2 x) d x

\int 9 x^{4} + 4 x^{2} d x

\frac{\partial}{\partial x} (2 x^{2} + 2 y^{2})

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (9) = 9

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

What is the derivative of-(14)/(s^6) ?
The derivative of-(14)/(s^6) is (84)/(s^7)
What is the first derivative of-(14)/(s^6) ?
The first derivative of-(14)/(s^6) is (84)/(s^7)