What is the slope of g(x)=10xe^{3-x^2} ?

The slope of g(x)=10xe^{3-x^2} is 10(e^{3-x^2}-2e^{3-x^2}x^2)

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slope of g(x)=10xe^{3-x^2}

slope

g (x) = 10 x e^{3 - x^{2}}

10 (e^{3 - x^{2}} - 2 e^{3 - x^{2}} x^{2})

Solution steps

g (x) = 10 x e^{3 - x^{2}}

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

10 x e^{3 - x^{2}}

\frac{d}{d x} (10 x e^{3 - x^{2}}) = 10 (e^{3 - x^{2}} - 2 e^{3 - x^{2}} x^{2})

10 (e^{3 - x^{2}} - 2 e^{3 - x^{2}} x^{2})

7 t \cdot y^{^{'}} - 5 y = t

4 y^{^{''}} - y = 1, y (0) = 0, y^{^{'}} (0) = \frac{1}{2}

\frac{d y}{d x} = \frac{3 y - 2}{2 x + 1}

x \to 2 lim (\frac{e ^{3}}{x})

(ln (\frac{1}{x}))^{^{'}}

What is the slope of g(x)=10xe^{3-x^2} ?
The slope of g(x)=10xe^{3-x^2} is 10(e^{3-x^2}-2e^{3-x^2}x^2)