Engineering Board Exam Reviewer · Tangent and Normal Lines · medium

Find the angle of inclination (in degrees) of the tangent line to y=x2 at x=1.

  1. 45°
  2. 63.43°
  3. 26.57°
  4. 116.57°

Answer

B. 63.43°

Solution

y'=2x=2 at x=1, so =2 and = -12 63.43°.

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