Find the tangent line for y = x^3
at 0. Does the tangent line cross the
curve y = x^3
at the point of contact

Question

anonymous · Answer

i think its 0-
what do they mean by point of contact

anonymous · Answer

point of contact means where the two graphs intersect?

anonymous · Answer

it seems obvious that they intersect at the point of contact

turingtest · Answer

$$ y = x^3\rightarrow{dy \over dx}=3x^2$$o is correct
the point crosses the curve because it is y^3, if it was y^2 it would not cross it, it would just touch it.

anonymous · Answer

right X^3

turingtest · Answer

|dw:1319137952826:dw|so along y=0 we will cross this graph

anonymous · Answer

point of contact means where the two graphs intersect?

anonymous · Answer

can you show by letting x^3 = 3x^2 then solve for x also?

anonymous · Answer

so you think thats what they mean by cross? means not just touching?

turingtest · Answer

if it was y=x^2 it would look like|dw:1319138039584:dw|so y=0 would only TOUCH the graph, not cross it