What is the slope of y=6+5x^2-2x^3 ?

The slope of y=6+5x^2-2x^3 is -6x^2+10x

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slope of y=6+5x^2-2x^3

slope

y = 6 + 5 x^{2} - 2 x^{3}

- 6 x^{2} + 10 x

Solution steps

y = 6 + 5 x^{2} - 2 x^{3}

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

6 + 5 x^{2} - 2 x^{3}

\frac{d}{d x} (6 + 5 x^{2} - 2 x^{3}) = - 6 x^{2} + 10 x

- 6 x^{2} + 10 x

\frac{d}{d x} (cos^{7} (2 x^{2} + 1))

\frac{d}{d x} ((\frac{x + 3}{x - 3})^{5})

x \to \infty lim (2 - x)

f (x) = x^{2} e^{\frac{1}{x}}

\int t^{3} e^{s i n (t^{4})} cos (t^{4}) d t