What is the slope of 1/(4+3x) ?

The slope of 1/(4+3x) is -3/((4+3x)^2)

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slope of 1/(4+3x)

slope

\frac{1}{4 + 3 x}

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

Solution steps

y = \frac{1}{4 + 3 x}

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

\frac{1}{4 + 3 x}

\frac{d}{d x} (\frac{1}{4 + 3 x}) = - \frac{3}{( 4 + 3 x ) ^{2}}

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

\int \frac{x ^{2}}{x ^{3} - 5} d x

\frac{1}{2 x}, at 2

x \to 0 lim (\frac{( sin ( 2 x ) )}{x})

\frac{d y}{d x} = - y x^{2}

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