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Popular >

derivative of (8x-7)/(5x+12)

Solution

derivative of

\frac{8 x - 7}{5 x + 12}

Solution

\frac{131}{( 5 x + 12 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{8 x - 7}{5 x + 12})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 8 x - 7 ) ( 5 x + 12 ) - \frac{d}{d x} ( 5 x + 12 ) ( 8 x - 7 )}{( 5 x + 12 ) ^{2}}

\frac{d}{d x} (8 x - 7) = 8

\frac{d}{d x} (5 x + 12) = 5

= \frac{8 ( 5 x + 12 ) - 5 ( 8 x - 7 )}{( 5 x + 12 ) ^{2}}

Expand

8 (5 x + 12) - 5 (8 x - 7) : 131

= \frac{131}{( 5 x + 12 ) ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of (8x-7)/(5x+12) ?
The derivative of (8x-7)/(5x+12) is (131)/((5x+12)^2)
What is the first derivative of (8x-7)/(5x+12) ?
The first derivative of (8x-7)/(5x+12) is (131)/((5x+12)^2)