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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derivative of

\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}}

\int \frac{x ^{3}}{x ^{2} + 2} d x

\int e^{- (x^{2} + 1)} d x

y^{^{''}} + 4 y = cos (4 x), y (0) = 0, y^{^{'}} (0) = 0

\frac{\partial}{\partial x} (13 (3^{x}))

\frac{d}{d x} (\frac{x}{30})

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)