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Popular >

derivative of 1/(6x)

Solution

derivative of

\frac{1}{6 x}

Solution

- \frac{1}{6 x ^{2}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{1}{6 x ^{2}}

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x \to 0 lim (e^{x l n (x)})

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\int \frac{1}{x ^{4} x ^{2} - 5} d x

Frequently Asked Questions (FAQ)

What is the derivative of 1/(6x) ?
The derivative of 1/(6x) is -1/(6x^2)
What is the first derivative of 1/(6x) ?
The first derivative of 1/(6x) is -1/(6x^2)