What is the slope of y=(-4x^2+12)/(2x+2) ?

The slope of y=(-4x^2+12)/(2x+2) is -(2(x^2+2x+3))/((x+1)^2)

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slope of y=(-4x^2+12)/(2x+2)

slope

y = \frac{- 4 x ^{2} + 12}{2 x + 2}

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

Solution steps

y = \frac{- 4 x ^{2} + 12}{2 x + 2}

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

\frac{- 4 x ^{2} + 12}{2 x + 2}

\frac{d}{d x} (\frac{- 4 x ^{2} + 12}{2 x + 2}) = - \frac{2 ( x ^{2} + 2 x + 3 )}{( x + 1 ) ^{2}}

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

\frac{d}{d x} ((2 x - 3 x^{3}) tan (x))

\frac{d}{d x} (arcsin (e^{- x}))

y = ln (x), x = e, y = 0

x \to - 9 lim (1 - 4 x^{3})

\int_{0}^{5} 2 e^{x} d x

What is the slope of y=(-4x^2+12)/(2x+2) ?
The slope of y=(-4x^2+12)/(2x+2) is -(2(x^2+2x+3))/((x+1)^2)