What is the derivative of (8x-6)/(x-6) ?

The derivative of (8x-6)/(x-6) is -(42)/((x-6)^2)

What is the first derivative of (8x-6)/(x-6) ?

The first derivative of (8x-6)/(x-6) is -(42)/((x-6)^2)

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derivative of

\frac{8 x - 6}{x - 6}

- \frac{42}{( x - 6 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{8 x - 6}{x - 6})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( 8 x - 6 ) ( x - 6 ) - \frac{d}{d x} ( x - 6 ) ( 8 x - 6 )}{( x - 6 ) ^{2}}

\frac{d}{d x} (8 x - 6) = 8

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

= \frac{8 ( x - 6 ) - 1 \cdot ( 8 x - 6 )}{( x - 6 ) ^{2}}

Simplify

\frac{8 ( x - 6 ) - 1 \cdot ( 8 x - 6 )}{( x - 6 ) ^{2}} : - \frac{42}{( x - 6 ) ^{2}}

= - \frac{42}{( x - 6 ) ^{2}}

y^{^{'}} - 4 y = 0.8

(x - 1)^{2} (x - 2) (x - 4)

\int sinh (3 u) d u

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

n = 1 \sum \infty \frac{n ^{3}}{3 ^{n}}

What is the derivative of (8x-6)/(x-6) ?
The derivative of (8x-6)/(x-6) is -(42)/((x-6)^2)
What is the first derivative of (8x-6)/(x-6) ?
The first derivative of (8x-6)/(x-6) is -(42)/((x-6)^2)