What is the derivative of (108/x) ?

The derivative of (108/x) is -(108)/(x^2)

What is the first derivative of (108/x) ?

The first derivative of (108/x) is -(108)/(x^2)

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\frac{d}{d x} (\frac{108}{x})

- \frac{108}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{108}{x})

Take the constant out:

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

= 108 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 108 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 108 (- 1 \cdot x^{- 1 - 1})

Simplify

108 (- 1 \cdot x^{- 1 - 1}) : - \frac{108}{x ^{2}}

= - \frac{108}{x ^{2}}

f (x) = (2 t - 1) (6 t - 6)^{- 1}

\frac{d}{d x} (\frac{332}{1 + 8.61 e ^{- 0.863 x}})

\int 21 x^{2} d x

\int_{- 2}^{2} 3 x^{2} d x

What is the derivative of (108/x) ?
The derivative of (108/x) is -(108)/(x^2)
What is the first derivative of (108/x) ?
The first derivative of (108/x) is -(108)/(x^2)