Quandaries and Queries
 

 

Find the point on the curve y=x2 where the tangent to the curve is parallel to the secant line connecting (-1,1) and (2,4)
 

 

Hi,

The line joining (-1,1) and (2,4) has slope

(4 - 1)/(2 - (-1))3/3 = 1

Thus you want the point on the curve where the tangent has slope 1.

Penny