What is the derivative of 2/(2s^2) ?

The derivative of 2/(2s^2) is -2/(s^3)

What is the first derivative of 2/(2s^2) ?

The first derivative of 2/(2s^2) is -2/(s^3)

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derivative of

\frac{2}{2 s ^{2}}

- \frac{2}{s ^{3}}

Solution steps

\frac{d}{d s} (\frac{2}{2 s ^{2}})

Take the constant out:

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

= 1 \frac{d}{d s} (\frac{1}{s ^{2}})

Apply exponent rule:

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

= 1 \frac{d}{d s} (s^{- 2})

Apply the Power Rule:

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

= 1 \cdot (- 2 s^{- 2 - 1})

Simplify

1 \cdot (- 2 s^{- 2 - 1}) : - \frac{2}{s ^{3}}

= - \frac{2}{s ^{3}}

What is the derivative of 2/(2s^2) ?
The derivative of 2/(2s^2) is -2/(s^3)
What is the first derivative of 2/(2s^2) ?
The first derivative of 2/(2s^2) is -2/(s^3)