The discussion revolves around finding the equation of a tangent line to the graph of y=e^x that passes through the origin. The subject area involves calculus, specifically the concepts of derivatives and tangent lines.
Some participants have offered insights into the derivative and the general form of the tangent line equation. There is an ongoing exploration of what specific point on the graph would allow the tangent line to intersect the origin, with no explicit consensus reached yet.
Participants are grappling with the requirement that the tangent line must pass through the origin, which raises questions about the appropriate point of tangency on the curve y=e^x.
iRaid said:Homework Statement
Find an equation for a line that is tangent to the grpah of y=ex and goes through the origin.
Homework Equations
The Attempt at a Solution
y'=ex
That's about all I can think of. I don't know how to make the tangent line go through the origin. Can someone lead me in the right direction?
Ray Vickson said:At any point (x,y) on the graph, how would you compute the slope of the tangent line?
RGV