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Homework Statement
is it possible to have a tangent line in a cubed function
Doesn't matter. The tangent line is just a line that touches a curve at a point (a, f(a)) and whose slope is f'(a). The fact that the tangent line happens to intersect the graph of the function somewhere else is immaterial. Pretty much every odd-degree polynomial will have a tangent line that intersectst the curve somewhere else.but the tangent line touches a cubed function twice so im sure if it could really be called a tangent line