What is the derivative of 1/(5x-6) ?

The derivative of 1/(5x-6) is -5/((5x-6)^2)

What is the first derivative of 1/(5x-6) ?

The first derivative of 1/(5x-6) is -5/((5x-6)^2)

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

= - \frac{1}{( 5 x - 6 ) ^{2}} \frac{d}{d x} (5 x - 6)

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

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

Simplify

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

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

y = 5 x - x^{2} (1.4)

y = 8 x^{4}, at x = 0

f (x) = 3 + ln (x)

\frac{d}{d x} (- sin (3 x) \cdot 3)

\int \frac{x ^{3}}{x ^{2} - 4} d x

What is the derivative of 1/(5x-6) ?
The derivative of 1/(5x-6) is -5/((5x-6)^2)
What is the first derivative of 1/(5x-6) ?
The first derivative of 1/(5x-6) is -5/((5x-6)^2)