What is the derivative of 7/(3x-1) ?

The derivative of 7/(3x-1) is -(21)/((3x-1)^2)

What is the first derivative of 7/(3x-1) ?

The first derivative of 7/(3x-1) is -(21)/((3x-1)^2)

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derivative of

\frac{7}{3 x - 1}

- \frac{21}{( 3 x - 1 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{7}{3 x - 1})

Take the constant out:

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

= 7 \frac{d}{d x} (\frac{1}{3 x - 1})

Apply exponent rule:

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

= 7 \frac{d}{d x} ((3 x - 1)^{- 1})

Apply the chain rule:

- \frac{1}{( 3 x - 1 ) ^{2}} \frac{d}{d x} (3 x - 1)

= - \frac{1}{( 3 x - 1 ) ^{2}} \frac{d}{d x} (3 x - 1)

\frac{d}{d x} (3 x - 1) = 3

= 7 (- \frac{1}{( 3 x - 1 ) ^{2}} \cdot 3)

Simplify

7 (- \frac{1}{( 3 x - 1 ) ^{2}} \cdot 3) : - \frac{21}{( 3 x - 1 ) ^{2}}

= - \frac{21}{( 3 x - 1 ) ^{2}}

\frac{10}{s ^{3}}

x \to \infty lim (x^{2} + 12)

\frac{d}{d x} (\frac{π x}{4})

45 (1 - e^{- 625 x})

f (x) = \frac{1}{1 + x ^{2}}, (2, \frac{2}{5})

What is the derivative of 7/(3x-1) ?
The derivative of 7/(3x-1) is -(21)/((3x-1)^2)
What is the first derivative of 7/(3x-1) ?
The first derivative of 7/(3x-1) is -(21)/((3x-1)^2)