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Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem 4-140

4-140.
  1. Find the equation of the line that is: Homework Help ✎

    1. Tangent to the function at x = 1.

    2. Normal to the tangent line at x = 1.

Write the equation of the tangent line in point-slope form.

We know that the point of tangency happens at x = 1. Evaluate the function, y, to find the point.
Evaluate the derivative, y', to find the slope.

Definition: A 'normal line' is perpendicular to a tangent line at the point of tangency.