What is the derivative of x/(8x+7) ?

The derivative of x/(8x+7) is 7/((8x+7)^2)

What is the first derivative of x/(8x+7) ?

The first derivative of x/(8x+7) is 7/((8x+7)^2)

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derivative of

\frac{x}{8 x + 7}

\frac{7}{( 8 x + 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{8 x + 7})

Apply the Quotient Rule:

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

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

\frac{d x}{d x} = 1

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

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

Simplify

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

f (x) = \frac{10 x}{x ^{2} - 6}

\frac{d}{d x} ((4 x^{2} - 13)^{- 12})

\frac{d}{d x} (a x + b x + c x + 2 t (a + b + c) z (x, t))

\frac{\partial}{\partial x} (a x + b y)

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