What is the slope of (6x)/(x+3) ?

The slope of (6x)/(x+3) is (18)/((x+3)^2)

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slope of (6x)/(x+3)

slope

\frac{6 x}{x + 3}

\frac{18}{( x + 3 ) ^{2}}

Solution steps

y = \frac{6 x}{x + 3}

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

\frac{6 x}{x + 3}

\frac{d}{d x} (\frac{6 x}{x + 3}) = \frac{18}{( x + 3 ) ^{2}}

\frac{18}{( x + 3 ) ^{2}}

\frac{d}{d x} (\frac{x - 2}{x - 4})

\int cos (a x) cos (b x) d x

x \to 2 lim (\frac{x ^{2} - a}{x - 2})

2 x^{3} - 3

\frac{\partial}{\partial y} (2 y - 2)