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Popular >

derivative of (7x-2)/(9x+1)

Solution

derivative of

\frac{7 x - 2}{9 x + 1}

Solution

\frac{25}{( 9 x + 1 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

\frac{d}{d x} (9 x + 1) = 9

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

Expand

7 (9 x + 1) - 9 (7 x - 2) : 25

= \frac{25}{( 9 x + 1 ) ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of (7x-2)/(9x+1) ?
The derivative of (7x-2)/(9x+1) is (25)/((9x+1)^2)
What is the first derivative of (7x-2)/(9x+1) ?
The first derivative of (7x-2)/(9x+1) is (25)/((9x+1)^2)