posted by Sasha .
find an equation of the tangent line to the curve y = x √x that is parallel to the line y = 1 + 3x.
Use the power rule for derivatives to get
For L: y=3x+1, the slope is 3.
Solve for x0 in
Find the ordinate
The point of tangency is therefore at (x0,y0).
Now pass a line L1 through (x0,y0) having a slope of 3:
Check that the line has a slope of 3 and pass through the point (x0,y0)