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}}

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)