Posted by **Anonymous** on Monday, October 15, 2012 at 11:51am.

Find an equation of the tangent line to the curve of f (x) = x^3 − 8, at the point where the curve crosses the x-axis.

- Calculus -
**Reiny**, Monday, October 15, 2012 at 2:45pm
f ' (x) = 3x^2

when the curve crossess the x-axis, y = 0

x^3 - 8 = -

x^3 = 8

x = 2 , so we have the point (2,0)

when x = 2, slope = 3(4) = 12

y - 0 = 12(x-2)

y = 12x - 24

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