When Two Functions Are Tangent

preview_player
Показать описание
🤩 Hello everyone, I'm very excited to bring you a new channel (SyberMath Shorts).
Enjoy...and thank you for your support!!! 🧡🥰🎉🥳🧡

If you need to post a picture of your solution or idea:
#algebra #counting #geometry #numbertheory #calculus
via @YouTube @Apple @Desmos @NotabilityApp @googledocs @canva

PLAYLISTS 🎵 :
  1. SyberMath Shorts
Рекомендации по теме
A fun geometry 0:06:09

A fun geometry challenge

How to Graph 0:02:33

How to Graph Tangent (Simplified)

Find The Equation 0:00:59

Find The Equation of the Tangent Line (Differential Calculus)

Horizontal Tangent Line 0:06:54

Horizontal Tangent Line with Basic Differentiation Rules Problem 2 (Calculus 1)

How to find 0:09:23

How to find the TANGENT PLANE | Linear approximation of multi-variable functions

How to Find 0:08:06

How to Find The Point Where The Graph has a Horizontal Tangent Lines Using Derivatives

Calculus 1: Limits 0:02:06

Calculus 1: Limits & Derivatives (1 of 27) The Tangent Line and The Secant Line - Reviewed

Find the quadratic 0:05:39

Find the quadratic Function with Tangent Slope of 2 at 2

Partial Fraction & 0:30:46

Partial Fraction & Trig Substitution Integration Introduction

Horizontal Tangent Lines 0:11:37

Horizontal Tangent Lines and Vertical Tangent Lines of Parametric Functions | Calculus 2

Learning How to 0:07:40

Learning How to Graph and Find the Change in Period of Tangent

Ex: Determine Where 0:05:22

Ex: Determine Where a Function has Tangent Lines Parallel to a Given Line

Tangent Plane for 0:09:46

Tangent Plane for Two Variable Function

Exercises about Tangent 0:26:50

Exercises about Tangent Lines [Part 1]

Grade 12 Calculus 0:06:57

Grade 12 Calculus - Finding a cubic equation given horizontal tangent line points (ch 4.2)

Implicit Differentiation: Find 0:09:02

Implicit Differentiation: Find the Equation of a Tangent Line (Dr. April Ström)

Equation of tangent 0:10:20

Equation of tangent and normal to the curve

How To Find 0:11:02

How To Find The Equation of The Tangent Line With Derivatives

Find cubic function 0:07:17

Find cubic function with horizontal tangent at two points

HOW TO Find 0:04:56

HOW TO Find the EQUATION OF A TANGENT LINE at a given point | Jake's Math Lessons

Learn How to 0:03:45

Learn How to Graph the Tangent Function by Changing the Period

Find the Linear 0:06:19

Find the Linear Approximation to the Multivariable Function Using the Tangent Plane and Estimate

tangent to an 0:08:36

tangent to an exponential curve

Tangent Plane and 0:09:55

Tangent Plane and Normal Line to Surface

Комментарии
Автор

Golden words - No solutions is also a solution!

trojanleo
Автор

Great man, interesting pr and well explained steps and solutions

TheJara
Автор

1:25 the condition for tangency is a bit more than the two functions being equal. I know you explain it later at 2:45 (i.e. f' = g'), but it would have made sense if both conditions were introduced at the same time.

dlevi
Автор

If a<0, there will always be one solution.

thiagorezende
Автор

e^x=Sqrt[ax] a=2e x=1/2=0.5 Its in my head.

RyanLewis-Johnson-wqxs
Автор

I solved this using the lambert W function:

e^x = sqrt(ax)
e^(2x) = ax
axe^(-2x) = 1
xe^(-2x) = 1/a
-2xe^(-2x) = -2/a
-2x = W(-2/a)
x = -W(-2/a)/2

markvodicar
Автор

How to solve the equation in the case a>2e? Is it possible to use Lambert W function (also called the omega function or product logarithm) here?

alexandermorozov