What is the derivative of (18/x) ?

The derivative of (18/x) is -(18)/(x^2)

What is the first derivative of (18/x) ?

The first derivative of (18/x) is -(18)/(x^2)

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\frac{d}{d x} (\frac{18}{x})

- \frac{18}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{18}{x})

Take the constant out:

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

= 18 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= 18 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 18 (- 1 \cdot x^{- 1 - 1})

Simplify

18 (- 1 \cdot x^{- 1 - 1}) : - \frac{18}{x ^{2}}

= - \frac{18}{x ^{2}}

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

\int 5 sin^{2} (r) cos (r) d r

x^{2 x + 1}

x \to 5 lim (\frac{1}{x - 5})

\frac{d}{d x} ((ln (x))^{x})

What is the derivative of (18/x) ?
The derivative of (18/x) is -(18)/(x^2)
What is the first derivative of (18/x) ?
The first derivative of (18/x) is -(18)/(x^2)