Asked by Anonymous
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.
Answers
Answered by
Reiny
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
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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