What is the derivative of (11)/z ?

The derivative of (11)/z is -(11)/(z^2)

What is the first derivative of (11)/z ?

The first derivative of (11)/z is -(11)/(z^2)

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derivative of

\frac{11}{z}

- \frac{11}{z ^{2}}

Solution steps

\frac{d}{d z} (\frac{11}{z})

Take the constant out:

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

= 11 \frac{d}{d z} (\frac{1}{z})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 11 (- 1 \cdot z^{- 1 - 1})

Simplify

11 (- 1 \cdot z^{- 1 - 1}) : - \frac{11}{z ^{2}}

= - \frac{11}{z ^{2}}

What is the derivative of (11)/z ?
The derivative of (11)/z is -(11)/(z^2)
What is the first derivative of (11)/z ?
The first derivative of (11)/z is -(11)/(z^2)