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Popular >

derivative of y=(7x-1)/(8x+3)

Solution

derivative of

y = \frac{7 x - 1}{8 x + 3}

Solution

\frac{29}{( 8 x + 3 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{7 x - 1}{8 x + 3})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 7 x - 1 ) ( 8 x + 3 ) - \frac{d}{d x} ( 8 x + 3 ) ( 7 x - 1 )}{( 8 x + 3 ) ^{2}}

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

\frac{d}{d x} (8 x + 3) = 8

= \frac{7 ( 8 x + 3 ) - 8 ( 7 x - 1 )}{( 8 x + 3 ) ^{2}}

Expand

7 (8 x + 3) - 8 (7 x - 1) : 29

= \frac{29}{( 8 x + 3 ) ^{2}}

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(dx)/(dt)+t^3x^5+x/t =0

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\int x^{2} ln (x + 4) d x

Frequently Asked Questions (FAQ)

What is the derivative of y=(7x-1)/(8x+3) ?
The derivative of y=(7x-1)/(8x+3) is (29)/((8x+3)^2)
What is the first derivative of y=(7x-1)/(8x+3) ?
The first derivative of y=(7x-1)/(8x+3) is (29)/((8x+3)^2)