What is the slope of y=(6x)/(x+5),(-3,-9) ?

The slope of y=(6x)/(x+5),(-3,-9) is 15/2

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slope of y=(6x)/(x+5),(-3,-9)

slope

y = \frac{6 x}{x + 5}, (- 3, - 9)

\frac{15}{2}

Solution steps

y = \frac{6 x}{x + 5}

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

\frac{6 x}{x + 5}

\frac{d}{d x} (\frac{6 x}{x + 5}) = \frac{30}{( x + 5 ) ^{2}}

\frac{30}{( x + 5 ) ^{2}}

Find the value of

\frac{30}{( x + 5 ) ^{2}}

for

x = - 3 : \frac{15}{2}

\frac{15}{2}

x^{6} y^{^{'}} + x^{5} y = 0

\frac{d}{d x} (\frac{x}{x + 1})

y = 3 x, y = 3 x

\frac{\partial}{\partial y} (22 cos (x) y z^{2})

x - x^{2}

What is the slope of y=(6x)/(x+5),(-3,-9) ?
The slope of y=(6x)/(x+5),(-3,-9) is 15/2