Logarithmic Differentiation Derivative of a Fraction

I take the derivative of a complex fraction using Logarithmic Differentiation and Implicit Differentiation. This difficult example would be much more work if your only tools were the Product Rule and Quotient Rule.

[shaazsyed]

Even after finishing math in college, I still watch your videos as review. Thank you for helping me from geometry in high school, to advanced calculus in university!

[vmlzveg]

Wow, out of all the videos I’ve watched, this has been the most clear. Thanks.

[NiaNick]

You saved my life!!!i was struggling the whole day trying to solve it using qoutient rules ect

[georgesadler]

Professor RobBob, thank you for a fantastic video/lecture on Logarithmic Differentiation Derivative of a Fraction. This differentiation technique really makes life in Calculus much simpler.

[awesome]

First time watching a video from this channel and i love this guy, definately subscribing👍

[elroybeauzec]

Nice, thanks for explaining.
Would that also apply for complex implicit expressions?

[freddieanderson]

This video was really helpful. I was wondering though, why do you not have to use the product rule when you bring 1/3 and 5 in front of ln(x^2+1) and ln(2x+5), respectively?

[RajaJr.Dhalla]

THANKS FOR THE VID IT WAS SUPER HELPFUL!!

[drumjunky]

This is a great example problem. I'm refreshing my knowledge for Calc II sothis should help a bit. I hope

[josephbasha]

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*ProfBob:* it's time





















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[bhekithembadonovanmbatha]

So good to see you Sir, keep up the good work😎🙋🏿‍♂️