Polar Coordinates: Tangents to Polar Curves

preview_player
Показать описание
In this video I go over further into Polar Coordinates and this time illustrate how to solve for tangents to polar curves. In order to find the tangent line of a polar curve, we need to first covert the polar curve into parametric equation form in order to calculate the derivative. We can do this easily by using trigonometry and letting ϴ be the parameter. From here we can apply the derivative formula in parametric form, which I covered in my earlier videos on parametric calculus, as well as using the Product Rule to determine calculate the slope of the tangent line. I also show how the slope of the tangent lines at the origin, or pole, simplifies to tanϴ and since it is at the origins, the equation of any line through the origin will just be y = tan(ϴ)*x since tanϴ is just the slope. I also illustrate the slopes at the origins by revisiting Example 8 on polar coordinates on the 4-leaved rose curve. This is a very useful video in understanding to how calculate the slope of a polar curve by using parametric calculus, so make sure to watch this video!

Related Videos:

------------------------------------------------------

  1. Math Easy Solutions
  2. family friendly
  3. matheasy
  4. math easy
  5. easymath
  6. easy math
Рекомендации по теме
Tangents to Polar 0:04:50

Tangents to Polar Curves

Polar Coordinates: Tangents 0:11:49

Polar Coordinates: Tangents to Polar Curves

Tangent Line Equations, 0:14:34

Tangent Line Equations, Slope, & Derivatives In Polar Form | Calculus 2

Slope of line 0:10:20

Slope of line tangent to polar graph

Horizontal Tangent Lines 0:26:47

Horizontal Tangent Lines & Vertical Tangent Lines In Polar Form

Polar Coordinates and 0:46:35

Polar Coordinates and Tangents of Polar Curves

A-Level Further Maths: 0:04:52

A-Level Further Maths: G3-07 Polar Tangents: Introduction

Tangents with Polar 0:10:17

Tangents with Polar Coordinates

Polar coordinate system 0:15:52

Polar coordinate system : - ( Vertical and horizontal tangent for polar curves ) - 10.

Calculus 2, Session 0:45:52

Calculus 2, Session 20 -- Plotting polar curves; tangents to polar curves

Single Variable Calculus 0:25:32

Single Variable Calculus | Tangents to Polar Curves

Polar Coordinates Basic 0:22:29

Polar Coordinates Basic Introduction, Conversion to Rectangular, How to Plot Points, Negative R Valu

Lines Tangent at 0:05:04

Lines Tangent at the Pole

Horizontal and Vertical 0:11:00

Horizontal and Vertical Tangent Lines to Polar Curves

Tangent line to 0:10:03

Tangent line to the polar curve (KristaKingMath)

Calculus 2 Lecture 2:01:36

Calculus 2 Lecture 10.4: Using Polar Coordinates and Polar Equations

Calculus BC – 0:24:37

Calculus BC – 9.7 Defining Polar Coordinates and Differentiating in Polar Form

A2 Further Maths 0:26:12

A2 Further Maths - Core - Tangents to Polar Curves

📚 How to 0:08:20

📚 How to find the tangent to polar curves

Polar Coordinates 18 0:20:19

Polar Coordinates 18 • Challenging Tangents example • CP2 Ex5D • 🎯

Polar Functions Tangents 0:06:07

Polar Functions Tangents at the Pole

Equations of Tangents 0:06:35

Equations of Tangents at the Pole

Finding a Tangent 0:09:47

Finding a Tangent Line in Polar Coordinates

Slope of tangent 0:10:50

Slope of tangent to a polar curve at a given point

Комментарии
Автор

I don’t always find the tangent line to a polar curve but when I do I usually use Parametric Calculus to do so ;)

mes