What is (\partial)/(\partial s)(7/s) ?

The answer to (\partial)/(\partial s)(7/s) is -7/(s^2)

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(\partial)/(\partial s)(7/s)

\frac{\partial}{\partial s} (\frac{7}{s})

- \frac{7}{s ^{2}}

Solution steps

\frac{\partial}{\partial s} (\frac{7}{s})

Take the constant out:

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

= 7 \frac{\partial}{\partial s} (\frac{1}{s})

Apply exponent rule:

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

= 7 \frac{\partial}{\partial s} (s^{- 1})

Apply the Power Rule:

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

= 7 (- 1 \cdot s^{- 1 - 1})

Simplify

7 (- 1 \cdot s^{- 1 - 1}) : - \frac{7}{s ^{2}}

= - \frac{7}{s ^{2}}

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

h

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What is (\partial)/(\partial s)(7/s) ?
The answer to (\partial)/(\partial s)(7/s) is -7/(s^2)