What is the slope of f(x)=(x-x^2)/(3x^2+2) ?

The slope of f(x)=(x-x^2)/(3x^2+2) is (-3x^2-4x+2)/((3x^2+2)^2)

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slope of f(x)=(x-x^2)/(3x^2+2)

slope

f (x) = \frac{x - x ^{2}}{3 x ^{2} + 2}

\frac{- 3 x ^{2} - 4 x + 2}{( 3 x ^{2} + 2 ) ^{2}}

Solution steps

f (x) = \frac{x - x ^{2}}{3 x ^{2} + 2}

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

\frac{x - x ^{2}}{3 x ^{2} + 2}

\frac{d}{d x} (\frac{x - x ^{2}}{3 x ^{2} + 2}) = \frac{- 3 x ^{2} - 4 x + 2}{( 3 x ^{2} + 2 ) ^{2}}

\frac{- 3 x ^{2} - 4 x + 2}{( 3 x ^{2} + 2 ) ^{2}}

\int \frac{3 x ^{2}}{5} + \frac{7 x ^{3}}{8} d x

\int - 10 x^{5} e^{x^{6}} d x

\int \frac{3}{x ( x + 1 )} d x

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

\int sec (3 x) tan (3 x) d x

What is the slope of f(x)=(x-x^2)/(3x^2+2) ?
The slope of f(x)=(x-x^2)/(3x^2+2) is (-3x^2-4x+2)/((3x^2+2)^2)