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Home > CALC > Chapter 4 > Lesson 4.4.2 > Problem 4-140
4-140.
Find the equation of the line that is:
Tangent to the function
at . Write the equation of the tangent line in point-slope form.
We know that the point of tangency happens at
. Evaluate the function, , to find the point.
Evaluate the derivative,, to find the slope. Normal to the tangent line at
. Definition: A 'normal line' is perpendicular to a tangent line at the point of tangency.