What is the slope of ((x^2))/(x+7) ?

The slope of ((x^2))/(x+7) is (x^2+14x)/((x+7)^2)

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slope of ((x^2))/(x+7)

slope

\frac{( x ^{2} )}{x + 7}

\frac{x ^{2} + 14 x}{( x + 7 ) ^{2}}

Solution steps

y = \frac{x ^{2}}{x + 7}

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

\frac{x ^{2}}{x + 7}

\frac{d}{d x} (\frac{x ^{2}}{x + 7}) = \frac{x ^{2} + 14 x}{( x + 7 ) ^{2}}

\frac{x ^{2} + 14 x}{( x + 7 ) ^{2}}

\frac{\partial}{\partial x} (x^{2} + y^{2} + (x + y)^{2})

\frac{\partial}{\partial x} (\frac{1}{( 1 + e ^{- x} )})

\frac{d}{d x} (lo g_{10} ((x - 3)^{2}))

\int \frac{4 x ^{2} + 1}{2 x + 5} d x

\int e^{- \frac{3}{2} t} d t

What is the slope of ((x^2))/(x+7) ?
The slope of ((x^2))/(x+7) is (x^2+14x)/((x+7)^2)