Related Rates Ladder Problem (Calculus)

Learn how to solve Calculus Related Rate problems specifically the ladder sliding down the wall in this free math video tutorial by Mario's Math Tutoring. We go through a 3 part question in this video.

0:16 Example 1 Related Rate Problem Ladder Sliding Down the Wall
0:50 First Step is to Draw a Diagram in a Coordinate Plane
1:21 State What We Know and Write What We Need to Find
2:04 Write an Equation that Relates The Quantities
2:24 Do Implicit Differentiation with Respect to Time
2:55 Substitute in Known Quantities and Solve for Unknown
4:00 What Does a Negative Rate Represent
4:10 At What Rate is the Area Changing
6:08 At What Rate is the Angle of the Ladder Changing

Related Videos:

Calculus Related Rates Cone Problem

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[frankvisnikar]

thank you very much, sir. you have completed in 8 minutes what my calc teacher cant in 3 days

[poelow]

Love the 3 different version. Helps a lot 😆

[sarahtran]

This video literally explain more than my teacher would ever do…

[Castheknotted]

Take it tomorrow and this cleared up the one problem I always got confused with, thank you very much!

[kimjongdaechen]

How the y is 8? Please someone help me

[davidm]

This is an excellent tutorial,   and I am convinced that the reason it has garnered so few views is because it is visually problematic.  I urge you to switch to a darker board and write larger.  Alternatively, the format of Khan or The Organic Prof" would be a great improvement.  I project a tenfold increase of viewership in implementing this measure, as your explanation & presentation are top-notch.

[berudbens]

How about if the ladder is being push from X-axis. The rate is still negative even the y-axis is increased?

[Coolgiy]

I used tan for part c instead of cos and got the same answer 😈