What is the derivative of 5/(6x) ?

The derivative of 5/(6x) is -5/(6x^2)

What is the first derivative of 5/(6x) ?

The first derivative of 5/(6x) is -5/(6x^2)

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\frac{d}{d x} (\frac{5}{6 x})

- \frac{5}{6 x ^{2}}

Solution steps

\frac{d}{d x} (\frac{5}{6 x})

Take the constant out:

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

= \frac{5}{6} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= \frac{5}{6} \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= \frac{5}{6} (- 1 \cdot x^{- 1 - 1})

Simplify

\frac{5}{6} (- 1 \cdot x^{- 1 - 1}) : - \frac{5}{6 x ^{2}}

= - \frac{5}{6 x ^{2}}

\frac{d}{d y} (1)

{e^{t} sin (3 t)}

n = 1 \sum \infty \frac{ln ( 6 n )}{n}

\frac{\frac{1}{2}}{s ^{2} + 2 s + 3}

3 (3 x^{2} + y^{2}) d x - 2 x y d y = 0

What is the derivative of 5/(6x) ?
The derivative of 5/(6x) is -5/(6x^2)
What is the first derivative of 5/(6x) ?
The first derivative of 5/(6x) is -5/(6x^2)