Calculus 3.05c - Linear Approximation

Using a tangent line and a linear approximation to find an approximate value of a function at a given point.

[bjgirl]

omg this is soooo clear...learnt more in a couple minutes than i wouldve learnt within a million hours of

[LLrox]

THANK YOU SO MUCH! Crystal clear explanation. Best video on YouTube for explaining the concept of linear approximation so simply. I wish you were my math teacher!

[mycommentpwnz]

That first example, finding the sqrt of 26 was really great. It was informative, useful, and most importantly it would help someone gain  an intuitive understanding of what's really happening. 

[kwltommy]

When you explained the theory at the end it made the formula so much more clear to me. Thanks a lot!

[binuthomas]

actually you helped me like an angel from heaven... this topic was confusing and u made it dam easy! god bless u

[chillguy]

Very good video. Not too long, but spends ample time explaining the concept. Well done.

[D]

Thank you so much for this video. I'm taking calculus at UCLA. Neither my professor nor my TA explained this as clearly as you have. Thanks!!

[MrMightyMou]

If there exist an Olympic games for teaching and explaining, you would got a gold medal!!

[mohammadalfateh]

I paused the video before I would finish to first say THANK YOU VERY MUCH. Fabulous explanation!

[matthewlev]

Thanks a lot Derek, you really showed why the equation is the way it is and knowing how it works is very helpful!

[grand_raccoon]

Wow, this is great. I have an exam coming up and I was stressing about this concept, but the explanation including that rise=slope*run was SUPER helpful. Thank you so much!!

[stokes]

if you go to purple math and type in meaning of slope in the search, in the first paragraph, it shows you another way to read the slope that isnt really taught in school

love this video! freaking awesome.

[derekowens]

That's correct. Going up 1 and 10 to the right is the same ratio as going up 1/10 and 1 to the right. The ratio of rise to run is 1 to 10 in each case.

[christopherrobinson]

Great example! I would just add for further motivation that linearization is also used before taking a Laplace transform where linear equations must be used to tune Controllers over a small operating range.

[SpadeSerenade]

you sir, are my hero. it's 2AM and this is exactly what i needed to complete my hw. thanks.

[SunDevo]

Where have you been all my was awesome!! Thank you much! :)

[idiosyncraticidiott]

Thank you for having good handwriting. that should be a requirement for teaching, it makes such a difference

[BlakeYuckert]

This is explained unbelievably well. Thank you.

[Shafique]

this topic was explained brilliantly! simple yet effective

[shelbydougherty]

Thank you so much! I'm about to take a calculus exam and I've been struggling with this concept. You rock.