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Lesson: Tangents and Normals to the Graph of a Function Mathematics

In this lesson, we will learn how to find the equations of tangents and normals to trigonometric, parametric, and implicitly defined curves using derivatives.

Lesson Plan

Students will be able to

find tangents and normals to trigonometric and reciprocal trigonometric curves,
find tangents and normals to parametric curves,
find tangents and normals to curves using implicit differentiation,
prove that two curves intersect orthogonally,
solve word problems using tangents and normals to curves.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Worksheet

Q1:

Find the equation of the normal to the curve at .

Q2:

Find the equation of the normal to the curve at .

Q3:

Find the equation of the tangent to the curve , at the point corresponding to the value .