Logarithmic Differentiation
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Uploader Comments (patrickJMT)
All Comments (204)
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i was actually excited to learn from you! Thank you so much for everything
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Where can I find a video about logarithmic integration, I might be missing the title on your site though? In any case, thank you.
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he is the man !!! aye Patrick, can u please add a search par to ur website so that it is easier to look for something, im having a difficult time looking for specific stuff on there.
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dude, seriously thanks
i believe u will rescue me by your math videos b4 my exam
thx again man
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i really love the fact your work is very clear and detailed. Also, your explanations are really on point. i never failed to follow your work.
all in all, you are so much better than my math teacher x.x
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@sulmazz hey why even bother talking? just sit down and let the stdents watch it :)
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I used to know how to do logarithmic differentiation... then I took an arrow to the knee.
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Adictive!
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Hey Patrick. I like this technique and find it really useful. I would just like to provide the explicit way of doing this derivative, using multivariable calculus, in case you or anyone else reading was curious. First you rewrite y=ln(x)^x as y=u^v, where u=ln(x) and v=x. You then use the chain rule -- ∂y/∂u(du/dx)+∂y/∂v(dv/dx) -- and you will find your derivative to be ln(x)^(x-1)+ln(ln(x)) ln(x)^x, which (after factoring out ln(x)^x) is the answer you got. Thanks for reading! :)
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I wonder how many of us would fail calc2 if it weren't for you...
You're a lifesaver. Thanks again!
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If I ever had to teach calculus - I would watch your videos and then just mimick everything that you say and do down to the T !! thank you for helping soo many of us pass and even start to enjoy Calculus
sulmazz 2 months ago 13
@sulmazz glad i could help : )
patrickJMT 2 months ago
Love your videos.. but where do I look if i want to find out how to diff something like 2^(x^2)?
Spiceman333 3 months ago 2
@Spiceman333 derivatives of exponential functions
patrickJMT 3 months ago 4
On an unrelated note: The very fact that the speaker is left-handed perturbs me, Nonetheless, this was great :) Thank you so much!
XangelkatzX 3 months ago
@XangelkatzX i always try to use jedi mind trick to pick up the pen with my mind, but it has yet to work.
patrickJMT 3 months ago 10