What is the derivative of (3x+7)/(4x-5) ?

The derivative of (3x+7)/(4x-5) is -(43)/((4x-5)^2)

What is the first derivative of (3x+7)/(4x-5) ?

The first derivative of (3x+7)/(4x-5) is -(43)/((4x-5)^2)

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derivative of

\frac{3 x + 7}{4 x - 5}

- \frac{43}{( 4 x - 5 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3 x + 7}{4 x - 5})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 3 x + 7 ) ( 4 x - 5 ) - \frac{d}{d x} ( 4 x - 5 ) ( 3 x + 7 )}{( 4 x - 5 ) ^{2}}

\frac{d}{d x} (3 x + 7) = 3

\frac{d}{d x} (4 x - 5) = 4

= \frac{3 ( 4 x - 5 ) - 4 ( 3 x + 7 )}{( 4 x - 5 ) ^{2}}

Simplify

\frac{3 ( 4 x - 5 ) - 4 ( 3 x + 7 )}{( 4 x - 5 ) ^{2}} : - \frac{43}{( 4 x - 5 ) ^{2}}

= - \frac{43}{( 4 x - 5 ) ^{2}}

n = 0 \sum \infty 37.06

\frac{\partial}{\partial x} (6 y (3 x^{2} - y^{2}))

\frac{d}{d x} (\frac{x ^{3} - 8}{x ^{2} - 4})

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

\frac{d}{d x} ((5 + x^{4})^{12})

What is the derivative of (3x+7)/(4x-5) ?
The derivative of (3x+7)/(4x-5) is -(43)/((4x-5)^2)
What is the first derivative of (3x+7)/(4x-5) ?
The first derivative of (3x+7)/(4x-5) is -(43)/((4x-5)^2)