Tangent and Normal Lines — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Tangent and Normal Lines (Differential Calculus), each with the correct answer and a worked solution.

1. Find the area of the triangle formed by the coordinate axes and the tangent line to y= 1x at x=2.
2. Find the equation of the tangent line to x2+xy+y2=7 at the point (2,1).
3. Find the points on y=x3-3x+1 where the tangent line is horizontal.
4. Find the angle of inclination (in degrees) of the tangent line to y=x2 at x=1.
5. At what point on the curve y=x2-4x+5 is the tangent line parallel to the line y=2x+1?
6. Find the equation of the normal line to y= x at x=4.
7. Find the equation of the tangent line to y=x2 at the point (3,9).
8. Find the slope of the tangent line to y=x3-2x at x=2.