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

This is a really good problem on combining the Product Rule and the Chain Rule to find the derivative. We start by identifying the function as a product and notice that each term is a function raised to a power, which requires the Chain Rule to differentiate. We make use of a special case of the Chain Rule, the General Power Rule. This makes the problem much easier! The shortcuts for the Chain Rule are linked below.
Shortcuts for the Chain Rule - General Power Rule and General Exponential Rule: • Shortcuts for the Chai...
Chain Rule with the Product Rule Problem 2: • Chain Rule with the Pr...
Chain Rule with the Product Rule Problem 3: • Chain Rule with the Pr...
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[@colint3758]

These are the type of hard problems on tests but not on the homework. Thank you for giving a step-by-step analysis!

[@user-sc9sh1qw2p]

You are a LIFESAVER, I love how you go through everything step by step so all my silly questions are answered too.

[@BlackTshirtMathProfessor]

You’re welcome, fellow mathematician! I tell my students that no question is too silly or stupid to ask. The only silly/stupid questions are those that are not asked.

[@skysanchez1574]

Thanks for the tutorial! I already knew how, but the simplifying part was tricky. Thank you for the clear and detailed explanations! It helps out a lot!

[@seifameen95]

I looked all over youtube for a simplified way to solve these equations and your way was the best thanks a lot

[@isaacoloo4527]

Thank you so much prof you've really simplified this concept

[@BlackTshirtMathProfessor]

Awesome! I’m glad it helped.

[@cizzle2054]

Finally someone that can make this rule make sense. Thanks sir :) ...... The pointing tho 😂

[@stockman9083]

bro this helped so much thanks I finally got it

[@desireeshipman8549]

U really helped me understand this, thank u!

[@ejboyedza5261]

very well explained!!! thank you so much.

[@MaskedCryptiC]

thanks for this very very detailed analysis........was searching for such video for last 2.5 hours🥲🥲

[@BlackTshirtMathProfessor]

I’m glad it helped!

[@peterk.4266]

Thanks.

[@abhishekbhamare4002]

Sir,
An indian proffesor has claimed that he has solved riemann hypothesis.
Have you seen his paper?

[@BlackTshirtMathProfessor]

I haven’t yet but I read that there might be some problems with the proof. I’ll check it out.

[@KondwaniPhondo]

Your writings aren't too visible

[@MaskedCryptiC]

its completely visible