The Equation of a Tangent Line (3.2.3)

Question 1

• To find the equation of a line tangent to a curve, take the derivative, evaluate the derivative at the point of tangency to find the slope, and substitute the slope and the point of tangency into the point-slope form of a line.

Answer 1

• To find the equation of a line tangent to a curve, take the derivative, evaluate the derivative at the point of tangency to find the slope, and substitute the slope and the point of tangency into the point-slope form of a line.

Question 2

• To find where the line tangent to a curve is horizontal, set the derivative equal to zero and solve for x.

Answer 2

• To find where the line tangent to a curve is horizontal, set the derivative equal to zero and solve for x.