How many tangents are possible from the origin on the curve y=(x+1)^3 . Also find the equation of these tangents . HELP !

Question

anonymous · Answer

this a calculus course?

anonymous · Answer

Yes , its a question from application of derivatives.

anonymous · Answer

a point on the curve looks like $(x, (x+1)^3)$ and the origin is $(0,0)$ 
the slope of the line between $(0,0)$ and $(x,(x+1)^3)$ is $\frac{(x+1)^3}{x}$

anonymous · Answer

the slope of the line tangent to the graph will be $3(x+1)^2$

anonymous · Answer

that being the derivative
they have to be the same, set 
$$3(x+1)^2=\frac{(x+1)^3}{x}$$ and solve for $x$

anonymous · Answer

Thanks a ton :)

anonymous · Answer

yw, hope it is clear more or less

anonymous · Answer

Yep , my answer matches :)