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.