What is the slope of f(x)=(x^2)/(x+8) ?

The slope of f(x)=(x^2)/(x+8) is (x^2+16x)/((x+8)^2)

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slope of f(x)=(x^2)/(x+8)

slope

f (x) = \frac{x ^{2}}{x + 8}

\frac{x ^{2} + 16 x}{( x + 8 ) ^{2}}

Solution steps

f (x) = \frac{x ^{2}}{x + 8}

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

\frac{x ^{2}}{x + 8}

\frac{d}{d x} (\frac{x ^{2}}{x + 8}) = \frac{x ^{2} + 16 x}{( x + 8 ) ^{2}}

\frac{x ^{2} + 16 x}{( x + 8 ) ^{2}}

\frac{d y}{d x} + (\frac{5}{x}) y = - 3 x - 4

y^{^{'}} + 5 y = 5 - e^{t}

3 x^{2} + 6

\int_{6}^{8} \frac{16}{( x - 6 ) ^{3}} d x

\frac{d}{d x} (x (2 x + 5)^{\frac{1}{3}})

What is the slope of f(x)=(x^2)/(x+8) ?
The slope of f(x)=(x^2)/(x+8) is (x^2+16x)/((x+8)^2)