Chain Rule with the Quotient Rule Problem 3 (Calculus 1)

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This is a really good problem on finding the derivative using the Quotient Rule and the Chain Rule. Applying the Chain Rule, to find the derivative of the function in the denominator, isn't too bad. However, we're left with a mess! We express everything without negative exponents so that way we can easily simplify this complex fraction. After a little work we get a nice, simplified answer for the derivative. This problem or one like it is usually a standard test/exam question in calculus 1.

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This is the best video I’ve seen on this topic. Thank you for explaining clearly.

erinphillips

Amazing Video! Very clear, I've been stressing about my exam and this made things very clear! You deserve much more subscribers than you have.

alphakr

Very understandable thank you so much teacher!!

valeriagranados

Thank you, this is was easier to understand compared to the other examples I was trying to learn from.

JRyanEE

Thanks a lot for explaining it so clearly and finding such an encompassing example! hopefully more people will discover your channel ! :)

DianaKot-zf

THANK YOU SO MUCH!!!! TEACHER DIDNT EXPLAIN THIS AND MATHWAY WAS NO HELP EITHER!

louieavila

Would it be embarrassing to say that I was attempting to use f(x+h)-f(x)/h as a reference to solve this problem? When it was just quotient rule all along? Oops.

NASALunarLight

when khan academy, NancyPi and the chemsitry tutor couldnt save me, blacktshirt came for the rescue

justindesilva

Im confused how you got the minus x^2 in the numerator

isajones

Thank you sir, your videos on caculus are amazing, i am understanding the concepts a lot better . Dont get demotivated by views .

deeznuts

if I could I would like this video 10 000 times🙌👍

nkosikhonabengu

How did you start off by leaving the denominator as (x^2+1) when it was (x^2+1)^2? how did you get rid of the square? at point 6:48 ? thank you!

lourdesnevarez

I don't understand how you got 2x

marilizarwamala

I don't understand how you got 2x

sokohannette

I don't understand how you got 2x

VictoriaNondo

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