What is the derivative of (sqrt(x))/(4x+6) ?

The derivative of (sqrt(x))/(4x+6) is (-2x+3)/(sqrt(x)(4x+6)^2)

What is the first derivative of (sqrt(x))/(4x+6) ?

The first derivative of (sqrt(x))/(4x+6) is (-2x+3)/(sqrt(x)(4x+6)^2)

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derivative of

\frac{x}{4 x + 6}

\frac{- 2 x + 3}{x ( 4 x + 6 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{4 x + 6})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( x ) ( 4 x + 6 ) - \frac{d}{d x} ( 4 x + 6 ) x}{( 4 x + 6 ) ^{2}}

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (4 x + 6) = 4

= \frac{\frac{1}{2 x} ( 4 x + 6 ) - 4 x}{( 4 x + 6 ) ^{2}}

Simplify

\frac{\frac{1}{2 x} ( 4 x + 6 ) - 4 x}{( 4 x + 6 ) ^{2}} : \frac{- 2 x + 3}{x ( 4 x + 6 ) ^{2}}

= \frac{- 2 x + 3}{x ( 4 x + 6 ) ^{2}}

\frac{\partial}{\partial x} (x y + \frac{4}{x} + \frac{2}{y})

y = ln (2) (x + 3)

x, 16

y = - 8 e^{- 2 x} - 9 e^{2 x} - 5 e^{x}

9 sin (3 x)

What is the derivative of (sqrt(x))/(4x+6) ?
The derivative of (sqrt(x))/(4x+6) is (-2x+3)/(sqrt(x)(4x+6)^2)
What is the first derivative of (sqrt(x))/(4x+6) ?
The first derivative of (sqrt(x))/(4x+6) is (-2x+3)/(sqrt(x)(4x+6)^2)