What is the derivative of 1/(6x-1) ?

The derivative of 1/(6x-1) is -6/((6x-1)^2)

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

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

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derivative of

\frac{1}{6 x - 1}

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

= - \frac{1}{( 6 x - 1 ) ^{2}} \frac{d}{d x} (6 x - 1)

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

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

Simplify

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

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

\int - \frac{6}{π} x d x

x \to 0 lim ((3 x)^{x^{2}})

f (x) 2 x + 10 y - 9 = 0

\int cos (- 6 x) d x

y = \frac{- 13}{4 x}

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