What is the derivative of (9x-9)/(-x+7) ?

The derivative of (9x-9)/(-x+7) is (54)/((-x+7)^2)

What is the first derivative of (9x-9)/(-x+7) ?

The first derivative of (9x-9)/(-x+7) is (54)/((-x+7)^2)

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derivative of

\frac{9 x - 9}{- x + 7}

\frac{54}{( - x + 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{9 x - 9}{- x + 7})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 9 x - 9 ) ( - x + 7 ) - \frac{d}{d x} ( - x + 7 ) ( 9 x - 9 )}{( - x + 7 ) ^{2}}

\frac{d}{d x} (9 x - 9) = 9

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

= \frac{9 ( - x + 7 ) - ( - 1 ) ( 9 x - 9 )}{( - x + 7 ) ^{2}}

Simplify

\frac{9 ( - x + 7 ) - ( - 1 ) ( 9 x - 9 )}{( - x + 7 ) ^{2}} : \frac{54}{( - x + 7 ) ^{2}}

= \frac{54}{( - x + 7 ) ^{2}}

y = 3 x^{2} - 7 x + 4

\int sec (y) d y

\frac{x ^{2} + 1}{x + e ^{x} + 2}

\int (- x^{2} - 3 x) d x

W (A) = \frac{A}{6}

What is the derivative of (9x-9)/(-x+7) ?
The derivative of (9x-9)/(-x+7) is (54)/((-x+7)^2)
What is the first derivative of (9x-9)/(-x+7) ?
The first derivative of (9x-9)/(-x+7) is (54)/((-x+7)^2)