Applications of derivative Question> Tangents

[PrashntS]

The motive was to find the tangent.. But I can't seem to find it.. when I plot the graph to this yperbola, I just CANT figure out how to proceed! HELP!

PS: This question was in exams today.. If the question is missing some info, please mention -.-

 

[Dick]

The motive was to find the tangent.. But I can't seem to find it.. when I plot the graph to this yperbola, I just CANT figure out how to proceed! HELP!

PS: This question was in exams today.. If the question is missing some info, please mention -.-

If (x,y) is a point on the hyperbola that a tangent passes through then the slope of the hyperbola there should be the same as the slope of the line passing through (x,y) and (4/3,0).

 

[ehild]

See attachment. The tangent line passes through point P(4/3,0) and touches the curve at point Q(u,v). The slope of the line is equal to the derivative dy/dx at Q.

ehild