What is the slope of y=x^3-9x,(1,-8) ?

The slope of y=x^3-9x,(1,-8) is -6

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slope of y=x^3-9x,(1,-8)

slope

y = x^{3} - 9 x, (1, - 8)

- 6

Solution steps

y = x^{3} - 9 x

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

x^{3} - 9 x

\frac{d}{d x} (x^{3} - 9 x) = 3 x^{2} - 9

3 x^{2} - 9

Find the value of

3 x^{2} - 9

for

x = 1 : - 6

- 6

\int \frac{5 - 4 x ^{2}}{3 + 2 x} d x

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

\frac{d}{d x} (\frac{500}{1 + 0.06 x ^{2}})

\int \frac{1}{x + 4} d x

\frac{\partial}{\partial y} (3 (x - y) e^{3 y + 5 x^{2}})