What is the slope of 1/(3+2x) ?

The slope of 1/(3+2x) is -2/((3+2x)^2)

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slope of 1/(3+2x)

slope

\frac{1}{3 + 2 x}

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

Solution steps

y = \frac{1}{3 + 2 x}

In order to find the slope of the function, take the derivative of

\frac{1}{3 + 2 x}

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

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

\frac{s}{( s + 2 ) ( s ^{2} + 4 )}

\frac{\partial}{\partial x} (2 arctan (\frac{x}{y}))

y^{^{''''}} + 20 y^{^{''}} + 64 y = 0

\frac{d}{d x} (x^{2} arctan (6 x))

\int \frac{24 x ^{2}}{100 - x ^{2}} d x