What is the slope of (-x^2+x+6)/(e^x) ?

The slope of (-x^2+x+6)/(e^x) is (x^2-3x-5)/(e^x)

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slope of (-x^2+x+6)/(e^x)

slope

\frac{- x ^{2} + x + 6}{e ^{x}}

\frac{x ^{2} - 3 x - 5}{e ^{x}}

Solution steps

y = \frac{- x ^{2} + x + 6}{e ^{x}}

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

\frac{- x ^{2} + x + 6}{e ^{x}}

\frac{d}{d x} (\frac{- x ^{2} + x + 6}{e ^{x}}) = \frac{x ^{2} - 3 x - 5}{e ^{x}}

\frac{x ^{2} - 3 x - 5}{e ^{x}}

ln (x^{2} - x + 1)

\int \frac{2 x ^{2}}{x ^{4} - 1} d x

y^{^{''}} + \frac{1}{2} y^{^{'}} + \frac{1}{16} y = 0, y (0) = 5, y^{^{'}} (0) = 0

x \to 0 lim (\frac{x ^{3}}{x ^{6}})

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

What is the slope of (-x^2+x+6)/(e^x) ?
The slope of (-x^2+x+6)/(e^x) is (x^2-3x-5)/(e^x)