What is the derivative of f(x)=(2x+3)/(3x+2) ?

The derivative of f(x)=(2x+3)/(3x+2) is -5/((3x+2)^2)

What is the first derivative of f(x)=(2x+3)/(3x+2) ?

The first derivative of f(x)=(2x+3)/(3x+2) is -5/((3x+2)^2)

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derivative of

f (x) = \frac{2 x + 3}{3 x + 2}

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

Solution steps

\frac{d}{d x} (\frac{2 x + 3}{3 x + 2})

Apply the Quotient Rule:

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

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

\frac{d}{d x} (2 x + 3) = 2

\frac{d}{d x} (3 x + 2) = 3

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

Simplify

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

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

\frac{\partial}{\partial x} ((e^{x - y}) g oo g)

f (x) = 1 - 2 cos (x)

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

\int \frac{x ^{3}}{x ^{2} - x - 2} d x

y = x + x^{π}

What is the derivative of f(x)=(2x+3)/(3x+2) ?
The derivative of f(x)=(2x+3)/(3x+2) is -5/((3x+2)^2)
What is the first derivative of f(x)=(2x+3)/(3x+2) ?
The first derivative of f(x)=(2x+3)/(3x+2) is -5/((3x+2)^2)