What is the slope of f(x)=(x^2)/(x+9) ?

The slope of f(x)=(x^2)/(x+9) is (x^2+18x)/((x+9)^2)

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slope of f(x)=(x^2)/(x+9)

slope

f (x) = \frac{x ^{2}}{x + 9}

\frac{x ^{2} + 18 x}{( x + 9 ) ^{2}}

Solution steps

f (x) = \frac{x ^{2}}{x + 9}

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

\frac{x ^{2}}{x + 9}

\frac{d}{d x} (\frac{x ^{2}}{x + 9}) = \frac{x ^{2} + 18 x}{( x + 9 ) ^{2}}

\frac{x ^{2} + 18 x}{( x + 9 ) ^{2}}

\int \frac{1}{cos ^{2} ( 7 x )} d x

(6 x^{2} + y - 1) d x - (14 y - x) d y = 0, y (1) = 0

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

\frac{x}{6 x + 2}

\frac{x ^{2}}{x - 1}

What is the slope of f(x)=(x^2)/(x+9) ?
The slope of f(x)=(x^2)/(x+9) is (x^2+18x)/((x+9)^2)