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

4-140.

Find the equation of the line that is: Homework Help ✎

Tangent to the function

at *x*= 1.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.