What is the slope of y=7+4x^2-2x^3 ?

The slope of y=7+4x^2-2x^3 is -6x^2+8x

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slope of y=7+4x^2-2x^3

slope

y = 7 + 4 x^{2} - 2 x^{3}

- 6 x^{2} + 8 x

Solution steps

y = 7 + 4 x^{2} - 2 x^{3}

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

7 + 4 x^{2} - 2 x^{3}

\frac{d}{d x} (7 + 4 x^{2} - 2 x^{3}) = - 6 x^{2} + 8 x

- 6 x^{2} + 8 x

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

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

\frac{d}{d x} (\frac{1}{5 x + 1})

\int \frac{3 - 18 x}{49 - 9 x ^{2}} d x

\frac{d}{d x} (3 x^{2} - 5)